math phd thesis length

  • How Long Is a PhD Thesis?
  • Doing a PhD

It’s no secret that one of the most challenging aspects of a PhD degree is the volume of work that goes into writing your thesis . So this raises the question, exactly how long is a thesis?

Unfortunately, there’s no one size fits all answer to this question. However, from the analysis of over 100 PhD theses, the average thesis length is between 80,000 and 100,000 words. A further analysis of 1000 PhD thesis shows the average number of pages to be 204 . In reality, the actual word count for each PhD thesis will depend on the specific subject and the university it is being hosted by. This is because universities set their own word length requirements, with most found to be opting for around 100,000.

To find out more about how these word limits differ between universities, how the average word count from STEM thesis differ from non-STEM thesis and a more detailed breakdown from the analysis of over 1000 PhDs, carry on reading the below.

Word Count Differences Between Universities

For any PhD student writing a thesis, they will find that their document will be subject to a word limit set by their university. In nearly all cases, the limit only concerns the maximum number of words and doesn’t place any restrictions on the minimum word limit. The reason for this is that the student will be expected to write their thesis with the aim of clearly explaining their research, and so it is up to the student to determine what he deems appropriate.

Saying this, it is well accepted amongst PhD students and supervisors that the absence of a lower limit doesn’t suggest that a thesis can be ‘light’. Your thesis will focus on several years worth of original research and explore new ideas, theories or concepts. Besides this, your thesis will need to cover a wide range of topics such as your literature review, research methodology, results and conclusion. Therefore, your examiners will expect the length of your thesis to be proportional to convey all this information to a sufficient level.

Selecting a handful of universities at random, they state the following thesis word limits on their website:

  • University of Edinburgh: 100,000
  • University of Exeter: 100,000
  • University of Leister: 80,000
  • University of Bath: 80,000
  • University of Warwick: 70,000

The above universities set upper word limits that apply across the board, however, some universities, such as the University of Birmingham and the University of Sheffield, set different word limits for different departments. For example, the University of Sheffield adopts these limits:

  • Arts & Humanities: 75,000
  • Medicine, Dentistry & Health: 75,000
  • Science: 80,000
  • Social Sciences: 75,000-100,000

Although there’s a range of limit, it’s safe to say that the majority fall within the 80,000 to 100,000 bracket.

Word Count Based on Data from past Theses

A poll of 149 postdocs.

In mid-2019, Dr Eva Lantsoght, a published author, academic blogger and Structural Engineering Professor, conducted a poll which asked postgraduate doctoral students to share the length of their final thesis. 149 PostDoc students responded to the survey, with the majority reporting a length falling within the ‘80,000 – 120,000 words’ bracket as seen below.

DiscoverPhDs_How-long-is-a-PhD-Thesis_Poll

Analysis of 1000 PhD Theses

Over a three-year time period, Dr Ian Brailsford, a then Postgraduate Learning Adviser at the University of Auckland, analysed 1000 doctoral thesis submitted to his university’s library. The PhD theses which formed the basis of his analysis were produced between 2008 to 2017 and showed:

  • Average number of pages = 204
  • Median number of pages = 198
  • Average number of chapters = 7.6

We should note that the above metrics only cover the content falling within the main body of the thesis. This includes the introduction, literature review, methods section, results chapter, discussions and conclusions. All other sections, such as the title page, abstract, table of contents, acknowledgements, bibliography and appendices were omitted from the count.

Although it’s impossible to draw the exact word count from the number of pages alone, by using the universities recommended format of 12pt Times New Roman and 1.5 lines spacing, and assuming 10% of the main body are figures and footnotes, this equates to an average main body of 52,000 words.

STEM vs Non-STEM

As part of Dr Ian Brailsford’s analysis, he also compared the length of STEM doctorate theses to non-STEM theses. He found that STEM theses tended to be shorter. In fact, he found STEM theses to have a medium page length of 159 whilst non-STEM theses had a medium of around 223 pages. This is a 40% increase in average length!

Can You Exceed the Word Count?

Whilst most universities will allow you to go over the word count if you need to, it comes with the caveat that you must have a very strong reason for needing to do so. Besides this, your supervisor will also need to support your request. This is to acknowledge that they have reviewed your situation and agree that exceeding the word limit will be absolutely necessary to avoid detriment unnecessary detriment to your work.

This means that whilst it is possible to submit a thesis over 100,000 words or more, it’s unlikely that your research project will need to.

How Does This Compare to a Masters Dissertation?

The average Masters dissertation length is approximately 20,000 words whilst a thesis is 4 to 5 times this length at approximately 80,000 – 100,000.

The key reason for this difference is because of the level of knowledge they convey. A Master’s dissertation focuses on concluding from existing knowledge whilst a PhD thesis focuses on drawing a conclusion from new knowledge. As a result, the thesis is significantly longer as the new knowledge needs to be well documented so it can be verified, disseminated and used to shape future research.

Finding a PhD has never been this easy – search for a PhD by keyword, location or academic area of interest.

Related Reading

Unfortunately, the completion of your thesis doesn’t mark the end of your degree just yet. Once you submit your thesis, it’s time to start preparing for your viva – the all-to-fun thesis defence interview! To help you prepare for this, we’ve produced a helpful guide which you can read here: The Complete Guide to PhD Vivas.

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Department of Mathematics

Phd requirements.

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Course Requirements

Mathematics PhD candidates must show satisfactory work in Algebra (110.601-602), Real Variables (110.605), Complex Variables (110.607), and one additional non-seminar mathematics graduate course in their first year. The first-year algebra and analysis requirement can be satisfied by passing the corresponding written qualifying exam in September of the first year; these students must complete at least two courses each semester. In addition, PhD candidates must take Algebraic Topology (110.615) and Riemannian Geometry (110.645) by their second year. Students having sufficient background can substitute an advanced topology course for 110.615, or an advanced geometry course for 110.645 with the permission of the instructor.

Candidates must show satisfactory work in at least two mathematics graduate courses each semester of their second year, and if they have not passed their oral qualifying exam, in the first semester of their third year.

Teaching Seminar

Candidates must take, attend, participate in, and pass the course 110.771 (GTA Teaching Seminar). The seminar is an important part of the preparation for classroom teaching, and thus an essential part of mathematics graduate education. The seminar is generally required in a student’s first year at JHU. A student supported by an external fellowship may delay taking the seminar until the spring before they are required to TA (but may not postpone the seminar entirely).

Candidates must pass written qualifying exams by the beginning of their second year in Analysis (Real & Complex) and in Algebra. Exams are scheduled for September and May of each academic year, and the dates are announced well in advance. More information as well as old exams and syllabi can be found on the Qualifying Exams page .

Candidates must pass an oral qualifying examination in the student’s chosen area of research by April 10th of the third year. The topics of the exam are chosen in consultation with the faculty member who has agreed (provisionally) to be the student’s thesis advisor, who will also be involved in administering the exam.

PhD Dissertation

Candidates must produce a written dissertation based upon independent and original research. After completion of the thesis research, the student will defend the dissertation by means of the  Graduate Board Oral exam . The exam must be held at least three weeks before the Graduate Board deadline the candidate wishes to meet.

Our PhD program does not have a foreign language requirement.

The MA Degree

Although the Department of Mathematics does not admit students seeking a terminal MA degree, students in the PhD program may earn an MA degree.

MA candidates must complete:

  • Four graduate courses given by the Hopkins Department of Mathematics
  • Two additional courses at the graduate or 400 level, other than 110.401, 110.405 and 110.415, given by the Hopkins Department of Mathematics, or with the permission of the graduate program director, graduate mathematics courses given by other departments or universities.

All courses used to satisfy the requirements must be completed with a grade of B- or better. (Advanced graduate courses completed with a grade of P can also be used to satisfy the requirements.)

Masters and PhD Thesis and Defense Guidelines

The crucial work produced in the course of graduate study for PhD students is a doctoral dissertation. MS students may also choose to culminate their studies by completing a master's thesis. There is no length requirement for these works, and they are read and approved by a committee put together by the student and their advisor. For PhD candidates, this committee consists of four members of which one must be an outside examiner from outside Tufts. For MS candidates, the committee must include at least 3 faculty members. The department provides a LaTeX template designed to help students meet the Tufts formatting requirements with basic instructions for setting up the document, which can be found on the  Organization for Graduate Students in Mathematics Resources page .

Thesis submissions deadlines and other important guidelines can be found in the  GSAS Handbook  and GSAS'  Graduation website . It is essential that you read and understand the Graduate School requirements in order to ensure an on-time graduation. Additionally, students must submit the "Thesis/Dissertation – Request for Final Approval" form to the chair of their committee once a final draft of the document, including any revisions recommended by the committee, is approved for publication.

During the electronic submission process, students are given the opportunity to order bound paper copies of their thesis or dissertation from ProQuest. The department requests that PhD students reserve   one of these bound copies  to be kept in our library, and will cover the costs for that extra copy.

Thesis Defense

In the last term before graduation, the student and advisor will schedule a thesis defense, which is announced to and open to the whole department and to visitors invited by the candidate.

The standard format is a presentation by the student followed by questions from the audience. The general audience is then asked to leave, and questions from the committee follow. In addition to the Graduate School rules, the Math Department has some additional requirements regarding thesis defenses:

  • The defense must be scheduled for a date at least 1 week prior to the thesis submission deadline, allowing time for any corrections to the thesis suggested by the committee to be made;
  • The defense date must be finalized and confirmed with the thesis committee 2 weeks in advance;
  • The defense date must be announced to the Department and advertised at least 2 weeks prior to the defense date, and with subsequent reminders announced by the office;
  • Students are expected to send a draft of their thesis to their committee 2 weeks prior to their defense. This does not have to be a finalized version, but should be substantially complete;
  • While the defense must occur with the student and all committee members (except one with permission) attending in person, the defense may be streamed virtually with the consent of the student and committee, allowing for a diverse audience. Similarly, if the student and committee agrees, the public portion of the defense may be recorded. It is strongly encouraged that faculty and graduate students in the department attend these defenses to show support for each other.

math phd thesis length

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Length of the average dissertation

math phd thesis length

On R is My Friend, as a way to procrastinate on his own dissertation, beckmw took a look at dissertation length via the digital archives at the University of Minnesota.

I’ve selected the top fifty majors with the highest number of dissertations and created boxplots to show relative distributions. Not many differences are observed among the majors, although some exceptions are apparent. Economics, mathematics, and biostatistics had the lowest median page lengths, whereas anthropology, history, and political science had the highest median page lengths. This distinction makes sense given the nature of the disciplines.

I was on the long end of the statistics distribution, around 180 pages. Probably because I had a lot of pictures.

As I was working on my dissertation, people often asked me how many pages I had written and how many pages I had left to write. I never had a good answer, because there’s no page limit or required page count. It’s just whenever you (and your adviser) feel like there’s enough to get a point across. Sometimes that takes 50 pages. Other times it takes 200.

So for those who get that dreaded page-count question, you can wave your finger at this chart and tell people you’re somewhere in the distribution.

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13 Comments

As a student at Minnesota, I’m not sure our digital archive is representative, as it is optional, and and certain fields are more or less likely (either due to subject matter, or internal politics) to include their works within the archive. Other than that, this is neat!

what do the colors mean? at first glance I thought the colors had to do with subject area, but on closer examination that are same colored major that are very different (i.e. anthropology/aerospace engineering,

The colors look like they are reverse alphabetical.

Kyle, thanks – I figured I was missing something super simple – its been a long day. So the colors are meaningless then?

Yes, the colors are useless. They convey no information that is not already transparently conveyed.

For that matter, the box plot itself is thoroughly obsolete. Read Edward Tufte’s books, specifically chapter 6 of “The Visual Display of Quantitative Information” for the description of the successor to the box plot.

As for the topic of the post, my math dissertation was 88 pages. My advisor’s was (not a typo) 23 pages, double-spaced, including front matter and references.

And Presburger’s was 19 pages or so. But his supervisor, Tarski, would not give him his PhD. He thought the thesis was too short. So there is a lower bound.

would be interesting to see if they have been getting longer over time and by how much by subject

The chart would be more useful if the majors were ordered by median or average dissertatin length. But it is interesting to note that the more mathematical and objective the mayor, the less pages needed. Llongest dissertations: sociology and anthropology. Shortest: biostatistics.

Out of curiosity, Nathan, what was your dissertation on? (Not that I’d understand it anyway!)

Then, there are the departments’ or universities’ format standards. Single spaced? Double spaced? That, of course doubles the plage length. Better, what was the word count in the dissertations?

So with the current trend of dissertation chapters being prepared/formatted as manuscript submissions for journals up front (which have limits to the manuscript length), I would expect to see overall dissertation lengths get shorter over time (to present). Mine started out much longer, but as I started conforming to target journal format standards, I would say the overall length was reduced by a third or so. Is this true outside of ecology as well?

Oh, dear, my dissertation wouldn’t even appear on this chart, but would be off the right edge. And yes, I’m in one of the ‘runs long’ disciplines. Then again, my opus would count as short for, say, a German Habilitation or a French These d’Etat in my field, so it all depends!

This is very interesting. One variable that isn’t accounted for, but varies greatly between institutions and individual authors, is the number of words per page – determined by spacing, margins, font size, and so on. A more helpful plot would count theses by words, instead of pages, as a measure of content.

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math phd thesis length

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PhD Dissertations

In 1909 the department awarded its first PhD to  Grace M. Bareis , whose dissertation was directed by Professor Harry W. Kuhn. The department began awarding PhD degrees on a regular basis around 1930, when a formal doctoral program was established as a result of the appointment of Tibor Radó as a professor at our department. To date, the department has awarded over 800 PhD degrees. An average of approximately 15 dissertations per year have been added in recent times. Find below a list of PhD theses completed in our program since 1952. (Additionally, search Ohio State at  Math Genealogy , which also includes some theses from other OSU departments.)

  
2024Castillo, NicholasOn Rational Approximations, Resurgence and Riemann-Hilbert ProblemsOvidiu Costin
2024Christopherson, AdamWeak-type Regularity of the Bergman Projection on Non-smooth DomainsKenneth Koenig
2024Clause, NathanielNew Invariants and Algorithms for Persistence over PosetsFacundo Mémoli
2024Goldman, KatherineShephard GroupsJingyin Huang
2024Genlik, DenizHolomorphic Anomaly Equations For [C /Z ]Hsian-Hua Tseng
2024Gülen, Aziz BurakAlgebraic-Combinatorial Perspectives on Persistence: Functorial Constructions via Möbius Inversion and Galois ConnectionsFacundo Mémoli
2024Lee, JonghooBrauer Group of Split Toric Variety and Split Toric SchemeRoy Joshua
2024Lee, RayReaction-Diffusion Equations in Spatial EcologyKing-Yeung Lam
2024Newton, ScottRepresentability For Monoid ExtensionsSanjeevi Krishnan
2024Packer, DanielSymmetrical Machine LearningDustin Mixon
2024Sehgal, KritiDynamics of the Hénon–Heiles System and Generalizing the Sokhotski-Plemelj FormulaOvidiu Costin
2024Terek Couto, IvoThe Geometry and Structure of Compact Rank-one ECS ManifoldsAndrzej Derdzinski
2024Xing, HaoNumber Theoretical and Dynamical Properties of Euclidean Lattices and Their SublatticesNimish Shah
2023Charparro Sumalave, Gustavo Lafont, Jean-Francois
2023Chen, ChenTotal Positivity of the Mixed GrassmannianAnderson, David
2023Gomez Flores, Mario Memoli, Facundo
2023Pan, AmandaRandom Walks and Number PartitioningNguyen, Hoi
2023Super, Shidhesh Tseng, Hsian-Hua
2023Zhou, Ling Memoli, Facundo
2023Carr, Matthew Harper, John
2023Casey, Ian Anderson, David
2023Chen, Quan Penneys, David
2023Mishra, Bhawesh Bergelson, Vitaly
2023Liu, Baian Loper, Alan
2023Su, Wei Hung Xiu, Dongbin
2023Wei, Zhining Luo, Wenzhi
2023Werf Vander, Andrew Kahle, Matthew [Paquette, Elliot]
2023Zhang, Danyu Gogolyev, Andriy
2022Ababneh, Ayat Kahle, Matthew
2022Ackelsberg, Ethan Bergelson, Vitaly
2022Andrejek, Luke Best, Janet
2022Call, Benjamin Thompson, Daniel
2022Campolongo, Elizabeth Taylor, Krystal
2022Chen, Yuhang Tseng, Hsian-Hua
2022Dell, Zachary Penneys, David
2022Duncan, Paul Kahle, Matthew
2022Farhangi, Sohail Bergelson, Vitaly
2022Huston, Peter Penneys, David
2022Jeon, Minyoung Anderson, David
2022Kim, Jimin Kahle, Matthew
2022Leung, Wing Hong Holowinsky, Roman
2022Martínez Figueroa, Francisco Kahle, Matthew
2022Mejia Cordero, Julian Holowinsky, Roman
2022Oh, Josiah Lafont, Jean-Francois
2022Sun, Jiawei Xing, Yulong
2022Tsang, Ling Hei Katz, Eric
2022Vargas Bernal, Esteban Tien, Joseph
2022Wang, Qingsong Memoli, Facundo
2022Wang, Yuda Koenig, Kenneth
2022Yan, Pan Cogdell, James
2022Yang, Ruize Xing, Yulong
2022Zhang, Yilong Clemens, Herbert
2022Zhou, Zixu Dongbin, Xiu
2021Bainbridge, Gabriel Krishnan, Sanjeevi
2021Bello, Jason Sivakoff, David
2021Best, Andrew Bergelson, Vitaly
2021Bruno, Nick Loper, Kenneth Alan
2021Chen, Zhen Xiu, Dongbin
2021Clark, Duncan Harper, John
2021Clum, Charles Mixon, Dustin
2021Ferre Moragues, Andreu Bergelson, Vitaly
2021Harper, Matthew Kerler, Thomas
2021Hernandez Palomares, Roberto Penneys, David
2021Lim, Sunhyuk Memoli, Facundo
2021Patel, Dhir Hiary, Ghaith
2021Schonsheck, Nikolas Harper, John
2021Shah, Aniket Anderson, David
2021Wan, Zhengchao Memoli, Facundo
2021Wang, Tianyu Thompson, Daniel
2021Xie, Yuancheng Kodama, Yuji
2021Zelada Cifuentes, Jose Rigoberto Enrique     Bergelson, Vitaly
2021Zhang, Han Shah, Nimish
2020Antoniou, Austin Loper, Kenneth Alan
2020Beckwith, Alexander Luo, Wenzhi
2020Castillo, Andrew Koenig, Kenneth
2020DeBoer, Neil Carlson, Timothy
2020Horst, Michael Johnson, Niles
2020Kim, Woojin Memoli, Facundo
2020Mernik, Luka McNeal, Jeffery
2020Ohl, Trent   Miller, Christopher
2020Osborne, Matthew Tien, Joseph
2020Singhal, Kritika Memoli, Facundo
2020Wang, Jun Tseng, Hsian-Hua
2020Zhang, Runlin Shah, Nimish
2020Zhang, Yu Harper, John
2019Aggarwal, Keshav Holowinsky, Roman
2019Carnovale, Marc Bergelson, Vitaly
2019Chowdhury, Samir Memoli, Facundo
2019Guo, Sheng Guan, Bo
2019Khalil, Osama Shah, Nimish
2019Meehan, Sean Nguyen, Hoi
2019Okutan, Osman Memoli, Facundo
2019Ritchey, Katherine Kahle, Matthew
2019Xiong, Jue McNeal, Jeffery 
2019Xu, Chao Moscovici, Henri
2019Yang, Pengyu Shah, Nimish
2019Ye, Rongqing Cogdell, James
2018Belfanti, Edward Michael Cogdell, James
2018Blomquist, Jacobson Harper, John
2018Glogic, Irfan Costin, Ovidiu
2018Jo, Yeongseong Cogdell, James
2018Kennedy, Christopher Lafont, Jean-Francois
2018Khan, Gabriel Zheng, Fangyang
2018Lin, Yongxiao Holowinsky, Roman
2018McGregor, Daniel Loper, Kenneth Alan
2018Moore, Daniel Cogdell, James
2018Nash, Evan Kennedy, Gary
2018Newman, John Andrew Kahle, Matthew
2018Nowland, Kevin Holowinsky, Roman
2018Renardy, Marissa  Chou, Ching-Shan
2018Richter, Florian Bergelson, Vitaly
2018Sathaye, Bakul Lafont, Jean-Francois
2018Shin, Yeonjong Xiu, Dongbin
2018Staten, Corey  Johnson, Niles
2018Wang, Yilong Kerler, Thomas
2018Yang, Xige Xue, Chuan
2018Yu, Han Baek Sivakoff, David
2017Adali, Ali Tanveer, Saleh
2017Borland, Alexander Kerler, Thomas
2017Dinitz, Thomas Best, Janet
2017Glasscock, Daniel Bergelson, Vitaly
2017Kim, Tae Eun Tanveer, Saleh
2017Liu, Shenhui Luo, Wenzhi
2017Parsons, Kyle Kahle, Matthew
2017Senay Aras, Betul Chou, Ching-Shan
2017Steward, Michael Loper, Kenneth Alan
2017Swang, Theodore Best, Janet
2017Wang, Yanli Chou, Ching-Shan
2017Xia, Bingyu Anderson, David
2017You, Fenglong Tseng, Hsian-Hua
2016Buenger, Carl  Shah, Nimish
2016Cervantes, José Moscovici, Henri
2016Edholm, Luke  McNeal, Jeffery
2016Le, Giang  Davis, Michael
2016Malen, Greg  Kahle, Matthew
2016Moreira, Joel  Bergelson, Vitaly
2016Schmidt, Benjamin Anderson, David
2016Sun, Weizhou Chou, Ching-Shan
2016Wang, Shi Lafont, Jean-Francois
2016Zhang, Qing Cogdell, James
2016Zheng, Cheng Shah, Nimish
2015Baker, Charles Costin, Ovidiu
2015Gubkin, Steven  McNeal, Jeffery
2015Hsu, Ting-Hao Keyfitz, Barbara
2015Huang, Jihui Kodama, Yuji
2015Lam, Wing Chung Luo, Wenzhi
2015Liu, Yang Moscovici, Henri
2015Nasca, Angelo  Bergelson, Vitaly
2015Noble, Laine Lou, Yuan
2015Qi, Zhi Holowinsky, Roman
2015Robertson, Donald  Bergelson, Vitaly
2015Sui, Zhenan Guan, Bo
2015Talamo, James Gerlach, Ulrich
2015Wang, Xiaohui Golubitsky, Martin
2015Xia, Xiaoyue Costin, Ovidiu
2015Yang, Tao Moscovici, Henri
2015Ying, Hao Keyfitz, Barbara
2015Zhang, Qing Luo, Wenzhi
2014Bosna, Bora Carlson, Timothy
2014Christopherson, John Bergelson, Vitaly
2014Edgren, Neal  McNeal, Jeffery
2014Fotis, Samuel  Luo, Wenzhi
2014Jia, Yuhan Kodama, Yuji 
2014Kim, Jung Eun Best, Janet
2014Miller, Jason  Kennedy, Gary
2014Nicol, Andrew Lafont, Jean-Francois
2014Olmez, Faith Best, Janet
2014Ozcakir, Ozge Tanveer, Saleh
2014Park, Hyejin Costin, Ovidiu
2014Poole, Daniel Pittel, Boris
2014Ravindran, Hari  Luo, Wenzhi
2014Wang, Kun Lafont, Jean-Francois
2014Yang, Lei Shah, Nimish
2014Ye, Zhilin Holowinsky, Roman
2013Acan, Huseyin Pittel, Boris
2013Alexander, Samuel Carlson, Timothy
2013All, Timothy  Sinnott, Warren
2013Banerjee, Sayanti  Best, Janet
2013Chen, Weitao Chou, Ching-Shan
2013Estill, Charles Chmutov, Sergei
2013George, Jennifer  Kerler, Thomas 
2013Gibbins, Aliska Davis, Michael W.
2013Greene, Ryan Davis, Michael W.
2013Joecken, Kyle Lafont, Jean-Francois
2013Kowalick, Ryan Lafont, Jean-Francois
2013Perkins, Rudolph  Goss, David
2013Peterson, Nicholas  Pittel, Boris
2013Rosenblatt, Heather Tanveer, Saleh
2013Son, Younghwan Bergelson, Vitaly
2013Sun, Wei Guan, Bo
2013Teh, Wen Chean Carlson, Timothy
2013Tychonievich, Michael Chris Miller
2013Vutha, Amit Golubitsky, Martin
2013Waller, Bradley Sinnott, Warren
2013Wiser, Justin Golubitsky, Martin
2013Yu, Xun Clemens, Herbert
2012Averill, Isabel  Lou, Yuan
2012Chai, Jingsong Cogdell, James
2012Du, Dong Burghelea, Dan
2012Easwaran, Hiranmoy Bergelson, Vitaly
2012Gard, Andrew  Fangyang Zheng
2012Kim, Raeyong Lafont, Jean-Francois
2012Lynd, Justin Solomon, Ron
2012Sequin, Matthew Kerler, Thomas 
2012Sivaraman, Vaidyanathan Robertson, G. Neil
2012Ustian, Alex  Shah, Nimish
2011Adduci, James Mityagin, Boris
2011Danisman, Yusuf Cogdell, James
2011Hui, Wing San Zheng, Fangyang
2011Ji, Haixia Feinberg, Martin
2011McDougal, Robert  Terman, David
2011Munther, Daniel  Lou, Yuan
2011Polo, Fabrizio Bergelson, Vitaly
2011Ravisankar, Sivaguru McNeal, Jeffery
2011Ross, Christopher Jon Pittel, Boris
2011Samara, Marko March, Peter
2011Valle, Raciel Leary, Ian
2011Whitaker, Erica  Cogdell, James
2011Xie, Zhizhang Moscovici, Henri
2011Zhang, Huaijian Baker, Gregory
2011Zhang, Lizhi Costin, Ovidiu
2010Ahn, Sungwoo Terman, David
2010File, Daniel Whitman Cogdell, James
2010Huang, Min Costin, Ovidiu
2010Im, Jeong Sook Baker, Gregory
2010Joshi, Janhavi McNeal, Jeffery
2010Kadyrov, Shirali Shah, Nimish
2010Khare, Niraj Seress, Akos
2010Kilanowski, Phillip  March, Peter
2010Kim, Kyung-Mi Cogdell, James
2010Lee, Gangyong Rizvi, S. Tariq
2010Lim, Changhoon Guan, Bo
2010Liu, Yu-Han Clemens, Herbert
2010Mance, William Bergelson, Vitaly
2010Peng, Na Edgar, Gerald A.
2010Su, Shu Kao, Chiu-Yen
2010Wang, Jie Clemens, Herbert
2010Wang, Ying Kao, Chiu-Yen
2010Werner, Nicholas  Loper, Alan
2010Ye, Ji Tanveer, Saleh
2010Zeki, Mustafa Terman, David
2010Zeytuncu, Yunus Ergin McNeal, Jeffery
2010Zhang, Yanyan Golubitsky, Martin
2009Altomare, Christian  Robertson, G. Neil
2009Bezugly, Andriy Lou, Yuan
2009Griesmer, John  Bergelson, Vitaly
2009Joshi, Badal  Best, Janet
2009Kurt, Oguz Robertson, G. Neil
2009Kwa, Kiam Heong Gerlach, Ulrich
2009Li, Lingfei Zheng, Fangyang
2009Liu, Sheng-Chi Luo, Wenzhi
2009Luo, Guo Baker, Gregory
2009McSweeney, John  Pittel, Boris
2009Mehta, Nishali Seress, Akos
2009Pikula, Rafal Bergelson, Vitaly
2009Puliyambalath, Naushad  Seress, Akos
2009Qiu, Zhi Costin, Ovidiu
2009Shi, Ronggang Einsiedler, Manfred
2009Swartz, Eric  Seress, Akos
2009Wang, Xueying Terman, David
2009Xie, Chao Baker, Gregory
2009Young, Justin Rallis, Stephen
2009Yu, Yang Baker, Gregory
2009Zhao, Peng Luo, Wenzhi
2008Arms, Scott Sinnott, Warren
2008Ault, Shaun  Fiedorowicz, Z.
2008Balachandran, Niranjan Robertson, G. Neil
2008Hur, Suhkjin Glover, Henry H.
2008Kar, Aditi Chatterji, Indira
2008Khoury, Michael Cogdell, James
2008McClain, Christopher Robertson, G. Neil
2008Nikolov, Martin  Flicker, Yuval
2008Niu, Liang Seress, Akos
2008Schnell, Christian Clemens, Herbert
2008Xiong, Wei March, Peter
2008Xu, Songyun Clemens, Herbert
2008Yang, Keyan Seress, Akos
2008Yeum, Ji-A Pittel, Boris
2007Hambrock, Richard Lou, Yuan
2007Hammett, Adam  Pittel, Boris
2007Lennon, Craig  Pittel, Boris G.
2007Park, Choongseok Terman, David
2007Pavlov, Ronald  Bergelson, Vitaly
2007Pu, Ming March, Peter
2007Qi, Dongwen Davis, Michael
2007Schoenecker, Kevin  Wyman, Bostwick F.
2007Stey, George  McNeal, Jeffery D.
2006Dimitrov, Youri Edgar, Gerald A.
2006Fu, Yun Baker, Gregory
2006Guler, Dincer Zheng, Fangyang
2006Lee, Seung Youn March, Peter
2006McKinley, Scott  March, Peter
2006Oman, Gregory  Loper, Alan
2006Pitale, Ameya Rallis, Steven
2006Tsoi, Man Sandstede, B. & Lou, Y
2006Wang, Hongyuan Zheng, Fangyang
2006Xia, Honggang Luo, Wenzhi
2005Chan, Ping-Shun Flicker, Yuval
2005Ghazaryan, Anna  Sandstede, Bjorn
2005Guloglu, Ahmet  Luo, Wenzhi
2005Kane, Abdoul Terman, David
2005Kaygun, Atabey Moscovici, Henri
2005Kennel, Lauren McNeal, Jeffery
2005Manukian, Vahagn Sandstede, Bjorn
2005Micu, Eliade Mihai Robertson, G. Neil
2005Salminen, Adam  Linckelman, Markus
2005Wolfe, Adam  Seress, Akos
2004Antal, Tamas Moscovici, Henri
2004Argesanu, George  Wyman, Bostwick F.
2004Herbig, Anne-Katrin McNeal, Jeffery D.
2004Iancu, Aniela Karina Wyman, Bostwick F.
2004Liu, Xing Tanveer, Saleh
2004Malyushitsky, Sergey  Harada, Koichiro
2004Otto, Michael Krötz, Bernhard & Stanton, Robert
2004Roman, Cosmin  Rizvi, Syed M.Tariq
2004Wang, Jin Baker, Gregory
2003Bell, Robert William, II Charney, Ruth M.
2003Boros, Dan Davis, Michael W.
2003Golubeva, Natalia  Baker, Gregory R.
2003Gorodnyk, Oleksandr Bergelson, Vitaly
2003Han, Zhongxian Wyman, Bostwick F.
2003Lladser, Manuel  Pemantle, Robin A.
2003Mendris, Robert Nemethi, Andras
2003Wang, Chian-Jen Rallis, Stephen
2003Yablonsky, Eugene Dynin, Alexander
2003Zhou, Xiangqian Robertson, G. Neil
2002Aydin, Nuh Ray-Chaudhuri, Dijen K.
2002Barbacioru, Catalin  Sinnott, Warren M.
2002Conrad, Eric  Milne, Stephen C.
2002Craciun, Gheorghe Feinberg, Martin Robert
2002Fiala, Nick  Seress, Akos
2002Hu, Xiaodong Moscovici, Henri
2002Jalics, Jozsi Zoltan Terman, David
2002McCoy, Ted Edgar, Gerald A.
2002Sachelarie, Vlad Wyman, Bostwick F.
2002Sherer, Scott  Scott, James
2002Slone, Rodney  Lee, R.
2001Beli, Constantin  Hsia, John S.
2001Breitenbucher, Jon  Milne, Stephen C.
2001Korchagina, Inna  Solomon, Ronald
2001Liu, Youjian Fitz, Michael
2001Marchenko, Vadim  Terman, David
2001Pham, Lan  Baker, Gregory R.
2001Pohlman, Matthew  Baker, Gregory R.
2001Stacklin, Thomas  Pittel, Boris G.
2001Xie, Xuming Tanveer, Saleh
2000Arenas-Carmona, Luis  Hsia, John S.
2000Barbu, Adrian  Ash, Avner D.
2000Butkevich, Sergey  Bergelson, Vitaly
2000Cashy, John  Glover, Henry H.
2000Gonciulea, Constantin Davis, Michael W.
2000Gries, Daniel  Mislin, Guido
2000Iskhakov, Igor  Davis, Michael W.
2000Nabavi, Ali Ray-Chaudhuri, Dijen K.
2000Pavlov, Savva  Rallis, Stephen
2000Qian, Jin Ray-Chaudhuri, Dijen K.
2000Ralfs, Arthur  Terman, David
2000Ramsey, John  Oz, Hayrani A.
2000Xie, Xuming Tanveer, Saleh
2000Zhang, Shaobo Myung, In Jae
1999Blackford, Jason  Ray-Chaudhuri, Dijen K.
1999Bucicovschi, Bogdan Burghelea, Dan
1999Genyuk, Julia Edgar, Gerald A.
1999Gorokhovsky, Alexander  Moscovici, Henri
1999Bondareva Humphreys, Natalia  Baishanski, Bogdan M.
1999Liu, Kan Ray-Chaudhuri, Dijen K. & Sehgal, Surinder K.
1999Mihalas, Stelian Robertson, G. Neil
1999Möller, Torsten Crawfis, Roger
1999Nigussie, Yared Robertson, G. Neil
1999Ragozzine, Charles  Ferrar, Joseph C.
1999Roberts, Joel Philip Silverberg, Alice
1999Siap, Irfan Ray-Chaudhuri, Dijen K.
1999Snyder, Brian  Goss, David
1999Szilárd, Ágnes Nemethi, Andras
1999Yang, Zifeng Goss, David
1999Yeh, Jieh-Shan  Ray Chaudhduri, Dijen
1999YU, HOSEOG Rubin, Karl C.
1999ZHANG, LINGHAI Terman, David
1998Golds, Jeffrey  Edgar, Gerald A.
1998Hartenstein, Margaret  Solomon, Ronald
1998HLAVACEK, JAN Baishanski, Bogdan M.
1998Jalics, Miklos  Baker, Gregory R.
1998LARICK, PAUL  Bergelson, Vitaly
1998Lu, Qin Mislin, Guido
1998MAKAROV, MIHAIL  Kappeler, Thomas
1998Mohácsy, Hedvig Ray-Chaudhuri, Dijen K.
1998Renedo, Marco  Bergelson, Vitaly
1998WAYAND, LEE  Davis, Michael W.
1998ZENKOV, DMITRY  BLOCH, ANTHONY M.
19971997BALTEANU, CORNEL FIEDOROWICZ, ZBIGNIEW
1997CHEN, YU QING Glover, Henry H.
1997GALUP, LUIS  Baishanski, Bogdan M.
1997HLAVACEK, AMY  HUNEKE, J. PHILIP
1997Hofmann, Glenn Nagaraja, H.N.
1997JOHNSON, BRYAN  Baishanski, Bogdan M.
1997Kim, Yongdai Baatoszynski, Robert
1997Koperski, Jeffrey  Batterman, Robert
1997LEININGER, VERNE  Milne, Stephen C.
1997MAJOR, EMERY  Burghelea, Dan
1997NANCE, ANTHONY  DOWLING, THOMAS A.
1997STADLER, JONATHAN Milne, Stephen C.
1997VOMPE, DMITRY  Baker, Gregory
1997WEISHAAR, ROBERT  Pittel, Boris
1997YAO, LIHUA March, Peter
1997Ye, Jian Kodama, Yuji
1997ZINOVIEV, DMITRII Flicker, Yuval
1996Altobelli, Joseph  Charney, R.
1996BABIKOV, MARK  Ferrar, Joseph C.
1996BAGDASAROV, SERGEY  Mityagin, Boris 
1996Carlson, Charles  Forest, M. Gregory
1996Chan, Shing-Wai Moscovici, Henri
1996Chan, Wai Kiu Hsia, John
1996CHERN, SHIKAI Moscovici, Henri
1996Das, Manabendra  Edgar, Gerald A.
1996Degenhardt, Sheldon Milne, Stephen C.
1996HUNT, DONALD  CARROLL, FRANCIS W.
1996JEON, INTAE March, Peter
1996Lam, Ching Hung Harada, Koichiro
1996Lame, John Sinnott, Warren
1996MAHARRY, JOHN  Robertson, G. Neil
1996Morje, Prabhav Harada, Koichiro
1996MULLINS, EDMOND N., JR Edgar, Gerald A.
1996POPESCU, CRISTIAN  Rubin, Karl C.
1996POUFINAS, THOMAS Mityagin, Boris 
1996ROSENBERG, STEVEN  Sinnott, Warren
1996SHALACK, JULIE  Ash, Avner D.
1996SZABO, TIBOR Seress, Akos
1996Tsolomitis, Antonis Davis, W. 
1996Tungol, Ronald  Pittel, Boris G. 
1996Wong, ChiKun  Charney, Ruth
1996XIAO, YIMIN TALAGRAND, MICHEL
1996ZHOU, JIANPING Wyman, Bostwick F.
1995Bhatnagar, Gaurav Milne, Stephen C.
1995Dixit-Radiya, Vibha Panda, Dhabaleswar K.
1995Gupta, Sandeep  Huang, C.H.
1995Joung, Haewon Nevai, Paul
1995Kessar, Radha Solomon, Ronald
1995Lee, Cary Dougherty, Randall
1995Lee, Yoonweon Burghelea, Dan
1995Marcsik, John Burghelea, Dan
1995McCutcheon, Randall Bergelson, Vitaly
1995Oh, Jangheon Sinnott, Warren
1995Peery, Thaddeus  Ozbay, Hitay 
1995Pinter, Ferenc  Nevai, Paul
1995Snell, Michael  Baishanski, B.
1995Varga, Jozsef Mityagin, Boris 
1995Wai, Hon-kit Burghelea, Dan
1995Weisz, Iván Seress, Akos 
1995Wu, Kuo-Chi Kodama, Y.
1995Xiang, Qing Ray-Chaudhuri, D.K.
1995Xu, Mingzhi Rubin, Karl
1995Zhang, Jianxiang Baishanski, Bogdan
1994Ashokkumar, C. R. Yedavalli, Rama K.
1994Dharmatilake, Jack  Robertson, G. Neil
1994Giust, Steven  Wyman, Bostwick F.
1994Gonzalez-Aviles, Cristian  Rubin, Karl C.
1994Jiang, Dihua Rallis, Stephen
1994Li, Kuo-tung Rosenblatt, Joseph
1994Manjrekar, Rajesh  Ash, Avner
1994McClure, Mark Edgar, Gerald A.
1994Schwartz, Peter  Rosenblatt, Joseph
1994Shao, You Yu Hsia, John
1994Wu, Xiaohong Dowling, Thomas
1994Zantout, Rached  Zheng, Yuan F.
1993Anderson, Michael  Ferrar, J.
1993Beleznay, F. Foreman, Matthew 
1993Belhadj, Mohamed Aldemir, Tunc 
1993Daquila, Richard Carroll, Francis W. 
1993Elder, Gove  Madan, Manohar L. 
1993Huang, Xiaoming Bojanic, Ranko 
1993Lee, Euiwoo Terman, David 
1993Leou, Ying-Tyug Friedman, Harvey 
1993Ouyang, Mingqing Neumann, Walter 
1993Sofer, Adriana S. Ash, Avner 
1993Szabó, Tamás  Divis, Zita
1993Tang, Shu-Leung Gold, Robert
1993Yang, Tzu-Yi Glover, Henry H.
1993Zha, Xiaoya Dowling, Thomas
1993Zhu, Tianbao Ray-Chaudhuri, D.K.
1992Ahmed, Shamim Klein, Charles A.
1992Bishop, Gregory  Carlson, Timothy
1992Cao, Jianzhong Forest, M.G.
1992Gethner, Ellen Parson, L. Alayne 
1992Haaland, Inger  Bergelson, Vitaly 
1992Icaza Perez, Maria  Hsia, John S.
1992Kane, Stephen Mityagin, Boris
1992Kim, Jeongjin Ray-Chaudhuri, D.K.
1992Krandick, Werner Collins, George E.
1992Lang, Cheng-Lien Terman, David
1992Leclerc, Anthony  Moore, Ramon E.
1992Ling, Tianwen Friedman, Harvey M.
1992Liu, Kecheng Foreman, Matthew
1992Narayani, Lakshmi  Ray-Chaudhuri, D.K.
1992Raqab, Mohammad  Nagaraja, Haikady N.
1992Reyes, Noli  Baishanski, B.
1992Shaw, Hong-Min Ray-Chaudhuri, D.K.
1992Sheu, Shin-pyng Forest, M. Gregory
1992Spieler, Barry  Charney, Ruth M.
1992Zhao, Yue Robertson, Neil
1991Banaszak, Grzegorz Sinnott, Warren
1991Blanchard, John  Mityagin, Boris 
1991Brozovic, Douglas  Solomon, Ronald
1991Craighead, Robert  Carroll, F. W.
1991Dale, Wilbur Nolan Smith, Malcolm C.
1991Donahue, Michael  Mityagin, Boris
1991Johnson, Jeremy  Collins, George E.
1991Manoharan, Palanivel Burghelea, Dan
1991Mariasoosai, William Baishanski, Bogdan M.
1991Némethi, András Moscovici, Henri
1991O'Ryan Lermanda, Manuel Shapiro, Daniel
1991Prabaharan, Kanagarajah Sucheston, L. 
1991Reinhold-Larsson, Karin B. Rosenblatt, Joseph 
1991Voon, Shu-Nan Glover, Henry
1991Wang, Qi Forest, M.G.
1991Xiong, Chuyu Overman, Edward
1991Yan, Zhongde Edgar, Gerald
1990Chen, Lin Yesha, Y.
1990Chilakamarri, Kiran Babu Robertson, Neil
1990Druschel, Kimberly  Davis, M.
1990Forrest, Alan Hunter Bergelson, Vitaly 
1990Gajda, Wojciech Davis, M.W.
1990Iwakata, Yasushi Dowling, Thomas
1990Lari-Lavassani, Ali Lu, Yung-Chen
1990Lee, Doobum Burghelea, Dan
1990Lovri, Miroslav Derdzinski, A.
1990Prieto-Cox, Juan  Hsia, John S.
1990Rodriguez Villegas, Fernando Sinnott, Warren
1990Song, Yongjin Fiedorowics, Zbigniew
1990Szabo, Laszlo Sucheston, Louis
1990Tam, Laying Baishanski, Louis
1990Xia, Yining Glover, Henry H.
1990Yu, Jenn-Hwa Edgar, Gerald
1989Andaloro, Paul  Ferrar, Joseph C.
1989Anghel, Nicolae Moscovici, Henri
1989Bajnok, Bela Bannai, Eiichi
1989Bunge, John  Nagaraja, H.N.
1989Chen, Hua Burghelea, Dan
1989Kwok, Wing Man Bannai, Eiichi
1989Munemasa, Akihiro Bannai, Eiichi
1989Oporowski, Bogdan  Robertson, Neil
1989Peric, Goran Moscovici, Henri
1989Schram, Erin  Ray-Chaudhuri, D.K.
1989Wierdl, Mate Bergelson, Vitaly
1989Wu, Fangbing Moscovici, Henri
1988Bannai, Etsuko Hsia, John Sollion
1988Fiedler, Joseph Huneke, John P.
1988Ghanaat, Patrick Ruh, Ernst Alfred
1988Jha, Shing-Whu Nevai, Paul
1988Kim, Jae Moon Gold, Robert
1988Moussong, Gabor Davis, Michael W.
1988Reeder, Mark Stephen Avner, Dolnick Ash
1988Rzedowski Calderón, Martha Madan, Manohar Lal
1988Villa-Salvador, Gabriel Madan, Manohar Lal
1988Wimelaratna, Ramasinghege Davis, William Jay
1987Ali, Sayel  Baishanski, B.M.
1987Han, Sang-Geun Sinnott, Warren
1987Lang, Mong-lung Bannai, Eiichi
1987Ray, Phillip  Ferrar, J.C.
1987Song, Sung Yell Bannai, Eiichi
1987Vitray, Richard  Robertson, Neil
1986Batra, Sharat Wigen, Philip E. 
1986Bezdek, Andras Glover, Henry
1986Char, Shobha  Burghelea, Dan
1986Lee, Jong-Eao  Carroll, Francis
1986Manickam, Nachimuthu Bannai, Eiichi
1986Miklós, Dezsö Ray-Chaudhuri, D.K.
1986Sali, Attila Bannai, Eiichi
1986Weaver, Robert  Robertson, Neil
1985Bauldry, William  Nevai, Paul
1985Brackebusch, Ruth  Edgar, Gerald A. 
1985Burdick, Bruce  Huneke, Philip
1985Butts, Eric  Davis, William
1985Childress, Nancy  Gold, Robert
1985Cho, Chong-Man Johnson, William B. 
1985Choi, Sul-Young Bannai, Eiichi
1985Guan, Puhua Ash, Avner
1985Huang, Tayuan Bannai, Eiichi
1985Kim, Myung-Hwan Hsia, John S.
1985Narang, Kamal Harada, K.
1985Seress, Akos Ray-Chaudhuri, D.K.
1985Singer, Phyllis  Allen, Harry P.
1985Song, Hi Ja Davis, William J.
1984Brink, James  Gold, Robert
1984Chidume, Charles  Davis, William J.
1984Frangos, Nicholas Sucheston, Louis
1984Grove, John W., (John Whitaker) Davis, William
1984Hemmeter, Joseph Bannai, Eiichi
1984Hong, Yiming Bannai, Eiichi
1984Ku, Jong-Min Ferrar, Joseph C.
1984Sheen, Rong-Chyu Nevai, Paul
1984Wajima, Masayuki Harada, Koichiro
1984Woldar, Andrew  Solomon, Ronald
1982Bonan, Stanford  Nevai, Paul
1982Carothers, Neal  Davis, William
1982Cheng, Fuhua Baishanski, Bogdan
1982Costello, Patrick  Hsia, John S.
1982D'Mello, Joseph  Cronheim, Arno
1982Gross, Francis   Ksienski, Aharon A.
1982Johnson, Sandra  Glover, Henry H.
1982Kirschenbaum, Marc Glover, Henry H.
1982Mahoney, Carolyn  Dowling, Thomas A.
1982Oprea, John  Burghelea, Dan
1982Shan, Chin-Chi Baishanski, Bogdan
1982Shih, Ching-Hsien Robertson, Neil
1981Benham, James  Hsia, John S.
1981Brickell, Ernest  Ray-Chaudhuri, D.K.
1981DeLaurentis, John  Edgar, Gerald
1981Flinn, Patrick  Davis, William
1981Moon, Aeryung Bannai, Eiichi
1981Young, Elmer  Glover, Henry
1979Gearhart, Thomas  Levine, Norman
1979Huffman, William  Drobot, S.
1979Kahn, Jeffry  Ray-Chaudhuri, D.K.
1979Lichtin, Benjamin  Lu, Yung-Chen
1979Roth, Robert  Ray-Chaudhuri, D.K.
1979Valentini, Robert  Cronheim, Arno
1979Woltermann, Michael  Sehgal, Surinder K.
1978Anacker, Steven  Dowling, T.A.
1978Brewster, Stephen  Homer, William
1978Decker, Richard  Glover, Henry
1978Ford, David  Zassenhaus, Hans
1978Ko, Hai-Ping Dowling, T.A.
1978Lichtin, Benjamin  Lu, Yung Chen
1978Lovett, Jane  Ferrar, Joseph
1978Wang, Shinmin  Dowling, T.A. 
1978Yang, Liow-Jing Woods, Alan C.
1977Barnes, Martha  Wilson, Richard
1977LeFever, John  Ray-Chaudhuri, D.K. 
1977Liu, Chung-Der Baishanski, Bogdan
1977Nemzer, Daniel  Ray-Chaudhuri, D.K.
1976Alspach, Dale  Johnson, William B.
1976Astbury, Kenneth  Sucheston, L. 
1976Catlin, Paul Allen  Dowling, T.A. 
1976Chakravati, Kamal  Dowling, T.A.
1976Chang, Kuang-I Dowling, T.A.
1976Ching, Wai-Sin  Bostwick, F. Wyman 
1976Denig, William  Dowling, T.A. 
1976Gbur, Mary Flahive Divis, Bohuslav
1976Markot, Robert  Bannai, Eiichi
1976Pal, Sat Leitzel, James R.C.
1976Yoder, Jeffery  Mickle, Earl J.
1976Baker, Ronald  Dowling, T.A. 
1975Burell, Benjamin  Zibler, Joseph A.
1975Chan, Agnes  Ray-Chaudhuri, D.K.
1975Dennis, John  Mickle, Earl J.
1975Donaldson, John  Zassenhaus, Hans
1975Dor, Leonard  Johnson, William B.
1975Earnest, Andrew  Hsia, John S.
1975Johnson, Robert  Drobot, Stefan
1975Madden, Daniel  Madan, Manohar L.
1975Ploeger, Bernard  Baishanski, Bogdan
1975Scrandis, Ann  Zassenhaus, Hans
1975Sze, Michael Ming Chih Sucheston, L.
1975Trushin, David  Allen, Harry P.
1975Wang, Chin San Robertson, Neil
1974Assa, Steven  Harada, Koichiro
1974Dunham, William  Huneke, Philip
1974Howell, Russell  Bojanic, Ranko
1974Kuntz, Amy  Sucheston, Louis
1974Mayer, David  Brown, Harold
1974O'Neill, Larkin  Huneke, Philip
1974Higgins, RadaOn The Asymptotic Behavior Of Certain SequencesBojanic, Ranko
1973Bieberich, Richard  Baishanski, Bogdan
1973Coon, Lawrence  Riner, John W.
1973Hansen, Henry  Woods, Alan
1973Klippert, John  Eustice, Dan
1973Mertens, Robert  Ross, Arnold E.
1973McLean, Jeffery  Yaqub, Jill C.D.S.
1973Peterson, Roger  Hsia, John S.
1973Sommers, Dean  Crosswhite, F. Joe
1973Sprague, Alan  Ray-Chaudhuri, D.K.
1973Ulrey, Michael  Ahlswede, Rudolf
1973Vijayan, Kulakkatt  Ray-Chaudhuri, D.K.
1973Wang, Paul Tiing Kerr, Douglas S.
1973Winkler, William Sucheston, L.
1973Wong, Kwok Chi Brown, Robert
1972Agashe, Pushpa  Levine, N.
1972Delany, Matthew  Zassenhaus, Hans
1972Ekong, Victor  Bojanic, R.
1972Hovis, Robert  Levine, N.
1972Jurick, Robert  Trimble, Harold C.
1972Lee, You-Hwa  Bojanic, R. 
1972Merklen, Héctor  Zassenhaus, Hans
1972Molnar, Edward  Mislin, Guido
1972Pomaredo, Rolando  Janko, Z.
1972Raber, Neal  Cronheim, A.
1972Smith, Fredrick  Janko, Z.
1972Zahroon, Fike  Trimble, Harold
1971Datta, Biswa  Ray-Chaudhuri, D.K.
1971Nelson Engle, Jessie  Mickle, E.
1971Falk, Daniel Zassenhaus, Hans
1971Heiberg, Charles  Baishanski, Bogdan
1971Milles, Stephen  Trimble, Harold
1971McClure, Clair  Trimble, Harold
1971Karamanoukian, Zaven  Woods, A.C.
1971Lundgren, J. Richard Janko, Z. 
1971Pujara, Lakhpat  Dean, David
1971Richard, Howard  Trimble, Harold
1971Rosenblum, Lawrence  Woods, Alan
1971Sehnert, James  Woods, Alan
1971St. Andre, Richard Levine, N.
1971Terrell, Thomas  Kregnel, U.
1971Veith, Wilbur  Carroll, F.W.
1970Anderson, Osiefield Trimble, Harold
1970Biddle, James  Cronheim, A. 
1970Dudgeon, Charles  Whitney, D. Random
1970Gemma, James  Ahlswede, Rudolf
1970Hanigan, Francis  Uotila, Urho A.
1970Hill, David  Dean, David
1970Hogan, Guy  Cronheim, A.
1970Johnson, Charles  Zassenhaus, Hans
1970Klein, Albert  Levine, N.
1970Logan, J. David Drobot, S.
1970McFarland, Robert  Zassenhaus, Hans
1970Sachdeva, Usha Sucheston, Louis
1970Stager, William  Levine, Norman
1970Sonn, Jack Zassenhaus, Hans
1970Yanosko, Kenneth  Janko, Z.
1969Fong, Humphrey Sek-Ching Sucheston, L.
1969Haines, David  Levine, Norman
1969Hale, Douglas  Davis, William
1969Hern, Thomas  Shapiro, J.M.
1969Heuvers, Konrad  Drobot, Stefan
1969Hull, David Shapiro, J.M.
1969Kimble, Kenneth  Drobpt, Stefan
1969Krier, Nicholas  Yaqub, J.
1969Kunes, Laurence  Shapiro, J.M.
1969Liang, Joseph Jen-Yin Zassenhaus, Hans
1969Mathis, Robert  Saltzer, Charles
1969Meeks, Joseph Mickle, E.
1969Scott, Frank  Levine, Norman
1969Wee, Leben Li Levine, Norman
1969Wilson, R. M. Ray-Chaudhuri, D.K.
1968Block, Henry  Shapiro, J.M.
1968Bonar, Daniel  Carroll, F.W.
1968Brown, John  Kapp, Wolfgang
1968Girard, Dennis  Baishanski, Bogdan
1968Keck, David  Reichelderfer, P.V.
1968Koehl, Frederick  Carroll, F.W.
1968Konvisser, Marc  Kappe, Wolfgang
1968Lu, Yu-Mei Yu Trimble, Harold C.
1968Nachman, Louis  Levine, N. 
1968Parker, Donald  Kappe, Wolfgang
1968Phillips, Paul  Trimble, Harold C.
1968Plybon, Benjamin  Drobot, Stefan
1968Pu, Huay-min Huoh Helsel, R.G.
1968Queen, Clifford  Zassenhaus, Hans
1968Riggle, Timothy  Trimble, Harold C.
1968Shook, Thurston  Levine, N.
1968Sternbach, Leonard Dean, David W.
1968Whitford, Leslie  Baishanski, Bogdan
1967Caufield, Patrick  Levine, N.
1967DeVore, Ronald Bojanic, R.
1967Kimbleton, Stephen  Shapiro, J.M.
1967Klimko, Eugene  Sucheston, Louis
1967Klimko, Lawrence  Sucheston, Louis
1967Olson, John  Zassenhaus, Hans
1966Brown, Harold  Zassenhaus, Hans
1966Caid, Larry  Davis, William
1966Deever, David  Albian, Alexander
1966Holden, Lyman  Trimble, Harold C.
1966Hopkins, Mark  Mickle, E.
1966Nikolai, Paul  Saltzer, Charles
1966Steinlage, Ralph  Mickle, E.
1965Aggarwal, Satish  Bambah, R.P.
1965Breiter, Thomas  Levine, N.
1965Boonyasombut, Virool Shapiro, J.M.
1965Dumir, V. C. Bambah, R.P
1965Frazier, Thyrsa  Reichelderfer, Paul V.
1965Hans-Gill, R. J. Bamba, R.P.
1965Nelson, Larry  Rado, T.
1965Randels, James  Rado, T. 
1964Anderson, Charles  Kleinfeld, E.
1964Brabenec, Robert  Helse, R.G.
1964Brooks, James  Reichelderfer, Paul V.
1964Chaney, Robin  Reichelderfer, Paul V.
1964Houghton, Charles  Mickle, E. 
1964Maxwell, John  Reichelderfer, Paul V. 
1964Pu, Hwang Wen Helsel, R.G.
1963Coppage, William  Whitney, D.R.
1963Laffer, Walter  Mann, Henry B.
1963Lin, Shen Rado, T. 
1963McWorter, William  Abian, Alexander
1963Norris, Donald  Reichelderfer, Paul V.
1963Outcalt, David  Whitney, D.R.
1963Schaefer, Donald  Mickle, E.
1963Staley, David  Levine, N.
1962Dixon, Robert  Tull, J.P.
1962Duemmel, James  Reichelderfer, Paul V.
1962Hardy, F. Lane Kleinfeld, E.
1962Robison, Donald  Whitney, R.
1962Ryeburn, David Reichelderfer, Paul V.
1961Johnsen, Eugene  Ryser, H.J.
1961Leetch, James  Helsel, R.G.
1961Martino, Joseph  Whitney, D.R.
1960Craft, George  Reichelderfer, Paul V.
1960Weiler, Fred  Reichelderfer, Paul V.
1960Willke, Thomas  Whitney, D.R.
1959Maneri, Carl Kleinfeld, Erwin
1959McCulloh, Leon Mann, Henry B.
1959Menon, Manavazhi Mann, Henry B.
1959Nemitz, William Mickle, Earl
1958Haber, Robert  Ryser, H.J.
1958Silverman, Robert Whitney, D.R.
1958Thompson, Robert  Reichelderfer, Paul V.
1958Tinsley, Marion  Ryser, H.J.
1958Parker, Ernest  Hall, Marshall
1955Lin, Chio-Shih Mann, Henry B.
1955Parrish, Herbert Helsel, R.G.
1954Crowley, Thomas  Helsel, R.G.
1954Fadell, Albert  Rado, T. 
1954Neugebauer, Christoph  Mickle, E.
1954Zemlin, Richard  Hall, Marshall
1953Butts, Hubert  Mann, Henry B.
1953Dean, Richard  Hall, Marshall
1953Edwards, Miles  Mickle, E.
1953Evans, John  Lazar, Nathan
1953Hoy, Walter  Mann, Henry
1953Moranda Paul  Mann, Henry 
1953Sterbenz, Pat  Reichelderfer, Paul V.
1952Fadell, Edward  Reichelderfer, Paul V.
1952Levine, NormanAbsolutely Continuous Product Transformations Of The PlaneHelsel, R.G
1952Martin, E. Wainwright  Hall, Marshall
1952Mendenhall, Robert  Helsel, R.G.
1952Myers, William  Reichelderfer, Paul. V
1952Tinnappel, Harold  Mickle, E.
1951Marsaglia, GeorgeStochastic Processes And Classes Of Random VariablesMann, Henry
1950Hoyoke, ThomasAn Embedding Problem For Transitive Permutation GroupsHall, Marshall
1949Whitney, Donald RansomA Comparison of the Power of Nonparametric Tests and Tests Based on the Normal Distribution Under Nonnormal AlternativesMann, Henry
1949Colquitt, Landon A.On Paths Of Minimum Flight TimeBamforth, Frederic
1947Adney, Joseph Elliott Hall, Marshall
1947Miser, HughGeneralized Conformal Representations of Fréchet SurfacesRado, Tibor
1947William, ScottOn Essentially Absolutely Continuous TransformationsRado, Tibor
1946Woods, CecilA Restricted Class of Convex FunctionsRado, Tibor
1945Ayer, MiriamOn Convergence In LengthRado, Tibor
1943Huskey, HarryContributions to the Problem of GeoczeRado, Tibor
1942Goffman, CasperOn The Converses Of Certain Theorems On The Symmetric Structure Of Sets And FunctionsHenry Blumberg
1942Helsel, RobertA Geometrical Application of Intregal MeansRado, Tibor
1942Krabill, DavidSome Matrices Whose Elements Are Functions Of One VariableBamforth, Frederic
1942Westhafer, RobertSingular Solutions Of Ordinary Differential Equations Of The First OrderBamforth, Frederic
1941Mickle, EarlHamiltonian And Quasi-Hamiltonian Functions Associated With Double Integral Variation ProblemsLa Paz, Lincoln
1941Ringenberg, LawrenceOn Functions Of LawrenceRado, Tibor
1941Schart, WilliamConditions For Solutions Of Certain Differential Equations Which Have Specified PropertiesBamforth, Frederic
1941Young, PaulOn The Approximation of Functions By Integral MeansRado, Tibor
1940Cox, Jr., WilliamOn Cummutative Normal Matrices And Unitary Equivalence Of MatricesKuhn, Harry
1939Hammer, PrestonProjective Geometries Over A Pseudo-FieldRado, Tibor
1939Kato. ChosaburoConfiguration N Sub 3Rado, Tibor
1939Reichelderfer, PaulSome Properties Of Continuous Transformations In The PlaneRado, Tibor
1939Snyder, WalterOn Functions Of SquaresRado, Tibor
1939Tepletsky, BenjaminStability And Periodicity Of Solutions Of Mathieu's EquationBamforth, Frederic
1938Rodabaugh, LouisThe Solution of a Certain Linear Partial Differential Equation of the First OrderBamforth, Frederic
1937Kohlmetz, DorothyCertain Problems Of A Special Character In Convex FunctionsRado, Tibor
1936Bailey, AlsonAn Approach To The Study Of Conic Sections, Based On A Group Of Projective TransformationsRado, Tibor
1936Gleyzal, AndreOn Transfinite Real Numbers, General Orders, Riemannian And Finsler SpacesBlumberg, Henry
1936Hanson, EugeneA Theorem Of Denjoy, Young And Saks. Ii. The Tau LimitBlumberg, Henry
1936Hummel, PaulContinued Fractions And MatricesMacDuffee, Cyrus
1936Southard, ThomasOn Certain Projective Geometries and Their Relation to AlgebraRado, Tibor
1935Jenkins, EmersonThe Composition Of Quadratic FormsMacDuffee, Cyrus
1935Lewis, FredSome Properties Of An Infinite Class Of Collineation GroupsKuhn, Harry
1935Rinehart, RobertSome Properties Of The Discriminant Matrices Of A Linear Associative AlgebraMacDuffee, Cyrus

Mathematics Institute

Preparing your thesis.

For further detail and information on this topic, current students and staff may use the >> Handbook << Link opens in a new window

This section includes brief comments and hints on the preparation of the thesis. Your supervisor should however be the main source of advice given his/her knowledge of your work and the subject area.

The Centre for Lifelong Learning and the Graduate School also run a series of one day courses [ Research Student Skills Programme ] over the year designed specifically for PhD students. They cover various subjects ranging from how to get started in research to writing up a thesis and preparing for a viva. They are free to attend.

Here, we focus on writing the thesis. The Doctoral College provides information on the Submission Process Link opens in a new window and has a page with FAQs Link opens in a new window .

Writing the Thesis - When to Start

The time required to write a thesis is often under-estimated. Those who have less experience of writing mathematical material will invariably take longer than those with more experience, or those who have a natural talent for writing. Starting to write your thesis at a sufficiently early stage is therefore essential if you are going to complete the thesis in the required timescale as it will also help you to plan ahead. You do not need to have completed all the research for your thesis before you start writing it!

Thesis Length

The thesis should be no longer than necessary to provide a succinct introduction to your research topic, to present your findings and to discuss what conclusions can be drawn from them in the context of the current knowledge of the field. These conclusions should be backed up with adequate references from the published literature. Examiners are just as critical of thesis that are too long as those that are too short. Quality is more important than quantity.

The University Regulations state that a PhD thesis shall not exceed 70,000 words excluding appendices, footnotes, tables and bibliography. This is only an upper limit and you should not feel that your thesis should be as long as this maximum.

Before Writing

Adequate preparation before beginning to write can help greatly to obtain a logically arranged, readable thesis and to shorten both the thesis and the writing time. First analyse the problem by answering the following questions.

Make a detailed outline. Identify as many subdivisions as possible. It is easier to combine subheadings, or eliminate them, than to insert new ones later. Plan tables and figures and avoid duplication of results unless there is specific justification. Consign material that would disturb the smooth flow of an argument to an Appendix.

Scientific writing is not exempt from the rules of good grammar, spelling and punctuation. Keep a dictionary handy and use a good spell checker, but don't rely on it!

Avoid long, meandering sentences. Good punctuation is an aid to clarity; if someone familiar with the subject has to re-read a sentence to understand it, the sentence probably needs more punctuation, or reconstruction. Go through paragraphs when you have written them, trying to put yourself in the place of the reader rather than the writer.

Avoid vague and inexact terms: for instance, y increases as x increases is preferable (if appropriate) to y changes with x. Define all non-standard terms, symbols and abbreviations where first used, and stick to them. Try to develop your arguments in a logical manner, this may be quite different from the chronological order in which you performed the research.

Copying (Plagiarism)

Any material copied word for word MUST be placed in quotation marks and the original source fully referenced. This principle applies to diagrams as well as text. Students are reminded that plagiarism - reproducing another person’s work as your own - is considered a very serious offence. Your attention is drawn to the following paragraph in the University booklet Guide to Examinations for Higher Degrees by Research

The general style of presentation should conform to that required for scientific papers in reputable journals. The thesis will be longer than typical research papers. It will therefore require a list of contents. Number all pages including diagrams, illustrations and tables. References should be placed at the end.

LaTeX should be used to produce the thesis.

After writing

When you have completed the first draft (of a chapter, for example) put it aside for a day or two. Then, coming to it afresh, read it carefully for a final revision, making sure notation and symbols are uniform throughout and consistent with what you have used in other chapters. Look out for obscurities, duplication or omissions.

Proof read the document for typographical errors and accidental omissions. This requires the utmost care if the thesis is not to be spoiled by residual minor errors. Allow yourself enough time for this essential final stage; it cannot be hurried. You can expect your supervisor to read and comment on your first or second drafts in general terms, but not rewrite it for you. Remember, it is YOUR thesis.

Years 3 & 4

Transferable Skills

Support & Raising Issues

Other Information

Frequently asked questions

How long is a dissertation.

Dissertation word counts vary widely across different fields, institutions, and levels of education:

  • An undergraduate dissertation is typically 8,000–15,000 words
  • A master’s dissertation is typically 12,000–50,000 words
  • A PhD thesis is typically book-length: 70,000–100,000 words

However, none of these are strict guidelines – your word count may be lower or higher than the numbers stated here. Always check the guidelines provided by your university to determine how long your own dissertation should be.

Frequently asked questions: Dissertation

A dissertation prospectus or proposal describes what or who you plan to research for your dissertation. It delves into why, when, where, and how you will do your research, as well as helps you choose a type of research to pursue. You should also determine whether you plan to pursue qualitative or quantitative methods and what your research design will look like.

It should outline all of the decisions you have taken about your project, from your dissertation topic to your hypotheses and research objectives , ready to be approved by your supervisor or committee.

Note that some departments require a defense component, where you present your prospectus to your committee orally.

A thesis is typically written by students finishing up a bachelor’s or Master’s degree. Some educational institutions, particularly in the liberal arts, have mandatory theses, but they are often not mandatory to graduate from bachelor’s degrees. It is more common for a thesis to be a graduation requirement from a Master’s degree.

Even if not mandatory, you may want to consider writing a thesis if you:

  • Plan to attend graduate school soon
  • Have a particular topic you’d like to study more in-depth
  • Are considering a career in research
  • Would like a capstone experience to tie up your academic experience

The conclusion of your thesis or dissertation should include the following:

  • A restatement of your research question
  • A summary of your key arguments and/or results
  • A short discussion of the implications of your research

The conclusion of your thesis or dissertation shouldn’t take up more than 5–7% of your overall word count.

For a stronger dissertation conclusion , avoid including:

  • Important evidence or analysis that wasn’t mentioned in the discussion section and results section
  • Generic concluding phrases (e.g. “In conclusion …”)
  • Weak statements that undermine your argument (e.g., “There are good points on both sides of this issue.”)

Your conclusion should leave the reader with a strong, decisive impression of your work.

While it may be tempting to present new arguments or evidence in your thesis or disseration conclusion , especially if you have a particularly striking argument you’d like to finish your analysis with, you shouldn’t. Theses and dissertations follow a more formal structure than this.

All your findings and arguments should be presented in the body of the text (more specifically in the discussion section and results section .) The conclusion is meant to summarize and reflect on the evidence and arguments you have already presented, not introduce new ones.

A theoretical framework can sometimes be integrated into a  literature review chapter , but it can also be included as its own chapter or section in your dissertation . As a rule of thumb, if your research involves dealing with a lot of complex theories, it’s a good idea to include a separate theoretical framework chapter.

A literature review and a theoretical framework are not the same thing and cannot be used interchangeably. While a theoretical framework describes the theoretical underpinnings of your work, a literature review critically evaluates existing research relating to your topic. You’ll likely need both in your dissertation .

While a theoretical framework describes the theoretical underpinnings of your work based on existing research, a conceptual framework allows you to draw your own conclusions, mapping out the variables you may use in your study and the interplay between them.

A thesis or dissertation outline is one of the most critical first steps in your writing process. It helps you to lay out and organize your ideas and can provide you with a roadmap for deciding what kind of research you’d like to undertake.

Generally, an outline contains information on the different sections included in your thesis or dissertation , such as:

  • Your anticipated title
  • Your abstract
  • Your chapters (sometimes subdivided into further topics like literature review , research methods , avenues for future research, etc.)

When you mention different chapters within your text, it’s considered best to use Roman numerals for most citation styles. However, the most important thing here is to remain consistent whenever using numbers in your dissertation .

In most styles, the title page is used purely to provide information and doesn’t include any images. Ask your supervisor if you are allowed to include an image on the title page before doing so. If you do decide to include one, make sure to check whether you need permission from the creator of the image.

Include a note directly beneath the image acknowledging where it comes from, beginning with the word “ Note .” (italicized and followed by a period). Include a citation and copyright attribution . Don’t title, number, or label the image as a figure , since it doesn’t appear in your main text.

Definitional terms often fall into the category of common knowledge , meaning that they don’t necessarily have to be cited. This guidance can apply to your thesis or dissertation glossary as well.

However, if you’d prefer to cite your sources , you can follow guidance for citing dictionary entries in MLA or APA style for your glossary.

A glossary is a collection of words pertaining to a specific topic. In your thesis or dissertation, it’s a list of all terms you used that may not immediately be obvious to your reader. In contrast, an index is a list of the contents of your work organized by page number.

The title page of your thesis or dissertation goes first, before all other content or lists that you may choose to include.

The title page of your thesis or dissertation should include your name, department, institution, degree program, and submission date.

Glossaries are not mandatory, but if you use a lot of technical or field-specific terms, it may improve readability to add one to your thesis or dissertation. Your educational institution may also require them, so be sure to check their specific guidelines.

A glossary or “glossary of terms” is a collection of words pertaining to a specific topic. In your thesis or dissertation, it’s a list of all terms you used that may not immediately be obvious to your reader. Your glossary only needs to include terms that your reader may not be familiar with, and is intended to enhance their understanding of your work.

A glossary is a collection of words pertaining to a specific topic. In your thesis or dissertation, it’s a list of all terms you used that may not immediately be obvious to your reader. In contrast, dictionaries are more general collections of words.

An abbreviation is a shortened version of an existing word, such as Dr. for Doctor. In contrast, an acronym uses the first letter of each word to create a wholly new word, such as UNESCO (an acronym for the United Nations Educational, Scientific and Cultural Organization).

As a rule of thumb, write the explanation in full the first time you use an acronym or abbreviation. You can then proceed with the shortened version. However, if the abbreviation is very common (like PC, USA, or DNA), then you can use the abbreviated version from the get-go.

Be sure to add each abbreviation in your list of abbreviations !

If you only used a few abbreviations in your thesis or dissertation , you don’t necessarily need to include a list of abbreviations .

If your abbreviations are numerous, or if you think they won’t be known to your audience, it’s never a bad idea to add one. They can also improve readability, minimizing confusion about abbreviations unfamiliar to your reader.

A list of abbreviations is a list of all the abbreviations that you used in your thesis or dissertation. It should appear at the beginning of your document, with items in alphabetical order, just after your table of contents .

Your list of tables and figures should go directly after your table of contents in your thesis or dissertation.

Lists of figures and tables are often not required, and aren’t particularly common. They specifically aren’t required for APA-Style, though you should be careful to follow their other guidelines for figures and tables .

If you have many figures and tables in your thesis or dissertation, include one may help you stay organized. Your educational institution may require them, so be sure to check their guidelines.

A list of figures and tables compiles all of the figures and tables that you used in your thesis or dissertation and displays them with the page number where they can be found.

The table of contents in a thesis or dissertation always goes between your abstract and your introduction .

You may acknowledge God in your dissertation acknowledgements , but be sure to follow academic convention by also thanking the members of academia, as well as family, colleagues, and friends who helped you.

A literature review is a survey of credible sources on a topic, often used in dissertations , theses, and research papers . Literature reviews give an overview of knowledge on a subject, helping you identify relevant theories and methods, as well as gaps in existing research. Literature reviews are set up similarly to other  academic texts , with an introduction , a main body, and a conclusion .

An  annotated bibliography is a list of  source references that has a short description (called an annotation ) for each of the sources. It is often assigned as part of the research process for a  paper .  

In a thesis or dissertation, the discussion is an in-depth exploration of the results, going into detail about the meaning of your findings and citing relevant sources to put them in context.

The conclusion is more shorter and more general: it concisely answers your main research question and makes recommendations based on your overall findings.

In the discussion , you explore the meaning and relevance of your research results , explaining how they fit with existing research and theory. Discuss:

  • Your  interpretations : what do the results tell us?
  • The  implications : why do the results matter?
  • The  limitation s : what can’t the results tell us?

The results chapter or section simply and objectively reports what you found, without speculating on why you found these results. The discussion interprets the meaning of the results, puts them in context, and explains why they matter.

In qualitative research , results and discussion are sometimes combined. But in quantitative research , it’s considered important to separate the objective results from your interpretation of them.

Results are usually written in the past tense , because they are describing the outcome of completed actions.

The results chapter of a thesis or dissertation presents your research results concisely and objectively.

In quantitative research , for each question or hypothesis , state:

  • The type of analysis used
  • Relevant results in the form of descriptive and inferential statistics
  • Whether or not the alternative hypothesis was supported

In qualitative research , for each question or theme, describe:

  • Recurring patterns
  • Significant or representative individual responses
  • Relevant quotations from the data

Don’t interpret or speculate in the results chapter.

To automatically insert a table of contents in Microsoft Word, follow these steps:

  • Apply heading styles throughout the document.
  • In the references section in the ribbon, locate the Table of Contents group.
  • Click the arrow next to the Table of Contents icon and select Custom Table of Contents.
  • Select which levels of headings you would like to include in the table of contents.

Make sure to update your table of contents if you move text or change headings. To update, simply right click and select Update Field.

All level 1 and 2 headings should be included in your table of contents . That means the titles of your chapters and the main sections within them.

The contents should also include all appendices and the lists of tables and figures, if applicable, as well as your reference list .

Do not include the acknowledgements or abstract in the table of contents.

The abstract appears on its own page in the thesis or dissertation , after the title page and acknowledgements but before the table of contents .

An abstract for a thesis or dissertation is usually around 200–300 words. There’s often a strict word limit, so make sure to check your university’s requirements.

In a thesis or dissertation, the acknowledgements should usually be no longer than one page. There is no minimum length.

The acknowledgements are generally included at the very beginning of your thesis , directly after the title page and before the abstract .

Yes, it’s important to thank your supervisor(s) in the acknowledgements section of your thesis or dissertation .

Even if you feel your supervisor did not contribute greatly to the final product, you must acknowledge them, if only for a very brief thank you. If you do not include your supervisor, it may be seen as a snub.

In the acknowledgements of your thesis or dissertation, you should first thank those who helped you academically or professionally, such as your supervisor, funders, and other academics.

Then you can include personal thanks to friends, family members, or anyone else who supported you during the process.

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  • A Guide to Writing a PhD Thesis

Written by Ben Taylor

A PhD thesis is a work of original research all students are requiured to submit in order to succesfully complete their PhD. The thesis details the research that you carried out during the course of your doctoral degree and highlights the outcomes and conclusions reached.

The PhD thesis is the most important part of a doctoral research degree: the culmination of three or four years of full-time work towards producing an original contribution to your academic field.

Your PhD dissertation can therefore seem like quite a daunting possibility, with a hefty word count, the pressure of writing something new and, of course, the prospect of defending it at a viva once you’ve finished.

This page will give you an introduction to what you need to know about the doctoral thesis, with advice on structure, feedback, submission and more.

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On this page

Beginning your phd thesis.

The first stage of your PhD thesis will usually be the literature review . We’ve already written a detailed guide to what the PhD literature review involves , but here’s what you need to know about this stage of your PhD:

  • The literature review is a chance for you to display your knowledge and understanding of what’s already been written about your research area – this could consist of papers, articles, books, data and more
  • Rather than simply summarising what other scholars have said about your subject, you should aim to assess and analyse their arguments
  • The literature review is usually the first task of your PhD – and typically forms the first part or chapter of your dissertation

After finishing your literature review, you’ll move onto the bulk of your doctoral thesis. Of course, you’ll eventually return to the lit review to make sure it’s up-to-date and contains any additional material you may have come across during the course of your research.

PhD thesis research

What sets your PhD thesis apart from previous university work you’ve done is the fact that it should represent an original contribution to academic knowledge . The form that this original contribution takes will largely depend on your discipline.

  • Arts and Humanities dissertations usually involve investigating different texts, sources and theoretical frameworks
  • Social Sciences are more likely to focus on qualitive or quantitative surveys and case studies
  • STEM subjects involve designing, recording and analysing experiments, using their data to prove or disprove a set theory

Depending on the nature of your research, you may ‘write up’ your findings as you go, or leave it until the dedicated ‘writing-up’ period, usually in the third year of your PhD. Whatever your approach, it’s vital to keep detailed notes of your sources and methods – it’ll make your life a lot easier when it comes to using references in your dissertation further down the line.

PhD thesis vs dissertation

It’s common to use the terms ‘thesis’ and ‘dissertation’ interchangeably, but strictly speaking there is a difference in meaning between them:

  • Your thesis is your argument. It’s the conclusions you’ve arrived at through surveying existing scholarship in your literature review and combining this with the results of your own original research.
  • Your dissertation is the written statement of your thesis. This is where you lay out your findings in a way that systematically demonstrates and proves your conclusion.

Put simply, you submit a dissertation, but it’s the thesis it attempts to prove that will form the basis of your PhD.

What this also means is that the writing up of your dissertation generally follows the formulation of your doctoral thesis (it’s fairly difficult to write up a PhD before you know what you want to say!).

However, it’s normal for universities and academics to use either (or both) terms when describing PhD research – indeed, we use both ‘thesis’ and ‘dissertation’ across our website.

Can I use my Masters research in my PhD thesis?

If you’re studying an MPhil, it’s normal to ‘ upgrade ’ it into a PhD. Find mroe information on our guide.

PhD thesis structure

Having completed your initial literature review and conducted your original research, you’ll move onto the next phase of your doctoral dissertation, beginning to sketch out a plan that your thesis will follow.

The exact structure and make-up of your doctoral thesis will vary between fields, but this is the general template that many dissertations follow:

  • Introduction – This sets out the key objectives of your project, why the work is significant and what its original contribution to knowledge is. At this point you may also summarise the remaining chapters, offering an abstract of the argument you will go on to develop.
  • Literature review – The introduction will generally lead into a write-up of your literature review. Here you’ll outline the scholarly context for your project. You’ll acknowledge where existing research has shaped your PhD, but emphasise the unique nature of your work.
  • Chapters – After you’ve finished introducing your research, you’ll begin the bulk of the dissertation. This will summarise your results and begin explaining the argument you have based on them. Some PhDs will also include specific chapters on methodology and / or a recreation of the data you have developed. Others will develop your argument over a series of stages, drawing on sources and results as relevant.
  • Conclusion – The dissertation will end with a final chapter that pulls together the different elements of your argument and the evidence you have provided for it. You’ll restate the significance of your project (and its all-important original contribution to knowledge). You may also take the opportunity to acknowledge the potential for further work or opportunities to apply your findings outside academia.
  • Bibliography and appendices – At the end of your thesis, you’ll need to include a full list of the books, articles and data you’ve referenced in a bibliography. You may also need to provide additional information in the form of an appendix.

How long is a PhD thesis?

The length of a PhD thesis varies from subject to subject, but all are far longer than those for undergraduate or Masters degrees. Your university will usually set an upper limit – typically between 70,000 and 100,000 words, with most dissertations coming in at around 80,000 words.

Generally speaking, STEM-based theses will be a little shorter than those in the Arts, Humanities and Social Sciences.

Different universities (and departments) will have different policies regarding what counts towards the PhD thesis word count, so make sure you’re aware what is expected of you. Check with your supervisor whether references, the bibliography or appendices are included in the word count for your dissertation.

How many chapters should a PhD thesis have?

There’s no hard and fast rule for the numbers of chapters in a PhD thesis, but most will have four or five chapters (in addition to the introduction and conclusion). This is the sort of thing you’ll discuss with your supervisor when planning out your research.

Writing up your PhD thesis

Once you’ve conducted your research and settled upon your thesis, there’s only one thing left to do: get it down on paper. Appropriately enough, this final part of a PhD is often referred to as the ‘ writing up period ’.

This is when you produce the final dissertation, which will be submitted as the basis for your viva voce exam. The nature of this task can vary from PhD to PhD.

In some cases you may already have a large amount of chapter drafts and other material. ‘Writing up’ therefore becomes a process of re-drafting and assembling this work into a final dissertation. This approach is common in Arts and Humanities subjects where PhD students tend to work through stages of a project, writing as they go.

Alternatively, you may have spent most of your PhD collecting and analysing data. If so, you’ll now ‘write up’ your findings and conclusions in order to produce your final dissertation. This approach is more common in STEM subjects, where experiment design and data collection are much more resource intensive.

Whatever process you adopt, you’ll now produce a persuasive and coherent statement of your argument, ready to submit for examination.

PhD thesis feedback

Your supervisor will usually give you feedback on each chapter draft, and then feedback on the overall completed dissertation draft before you submit it for examination. When the thesis is a work-in-progress, their comments will be a chance for them to make sure your research is going in the right direction and for you to ask their advice on anything you’re concerned about. This feedback will normally be given in the form of a supervisory meeting.

Although your PhD supervisor will be happy to give you advice on your work, you shouldn’t expect them to be an editor – it’s not their responsibility to correct grammatical or spelling mistakes, and you should make sure any drafts you submit to them are as error-free as possible. Similarly, they won’t be willing to edit your work down to fit a particular word count.

Finishing your PhD thesis

When you’ve finished the final draft of your doctoral thesis and it’s been approved by your supervisor, you’ll submit it for examination. This is when it’s sent to the examiners who will conduct your viva.

Submitting your thesis involves printing enough copies for your examiners and the university’s repository. Don’t leave this until the last minute – printing multiple copies of a 300-page document is a substantial undertaking and you should always allow enough time to account for any possible glitches or issues with the printing process.

Your viva will usually take place within three months of submitting your thesis. You can find out more in our dedicated guide to the PhD viva . After your viva, your examiners will give you a report that confirms whether or not you need to make any changes to your thesis, with several different potential outcomes:

  • Pass – You’ve received your doctoral qualification!
  • Minor corrections – These are usually fairly small edits, tweaks and improvements to your thesis, which you’ll be given three months to implement
  • Major corrections – For these substantial changes, you may have to rewrite part of your dissertation or complete extra research, with a six-month deadline

Most PhD students will need to fix some corrections with their thesis (hopefully not major ones). It’s very rare for a dissertation to be failed.

Once you’ve made any necessary changes to your thesis, you’ll submit it one last time (usually electronically).

If you have plans to publish all or part of your work, you may want to request an embargo so that it won’t be visible to the public for a certain time. 12 months is a fairly standard time period for this, although you may want to ask for a longer embargo if you know that you want to turn your thesis into a book or monograph.

Take a look at our programme listings and find the perfect PhD for you.

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What is the shortest Ph.D. thesis? [closed]

The question is self-explanatory, but I want to make some remarks in order to prevent the responses from going off into undesirable directions.

It seems that every few years I hear someone ask this question; it seems to hold a perennial fascination for research mathematicians, just as quests for short proofs do. The trouble is that it has strong urban-legend tendencies: someone will say, "So-and-so's thesis was only $\epsilon$ pages long!" where $\epsilon \ll 1$ . It will often be very difficult to confirm or disconfirm such claims, since Ph.D. theses are often not even published, let alone readily available online. If you Google around for a while, as I did, you will find many dubious leads and can easily waste a lot of time on wild goose chases. Frankly, I'm a bit fed up with this state of affairs. I am therefore asking this question on MO in the hope that doing so will put this old question to rest, or at least establish provable upper bounds.

I would therefore request that you set yourself a high standard before replying. Don't post a candidate unless you're sure your facts are correct, and please give some indication why you're so sure. Read the meta discussion before posting. (Note that the meta discussion illustrates that even a MathSciNet citation isn't always totally definitive.) Include information about the content and circumstances of the thesis if you know it, but resist the temptation to gossip or speculate.

I'm not making this question community wiki or big-list because it should ideally have a definite answer, though I grant that it's possible that there are some borderline cases out there (perhaps there are theses that were not written in scholarly good faith, or documents that some people would regard as equivalent to a Ph.D. thesis but that others would not, or theses in subjects that are strictly speaking distinct from mathematics but that are arguably indistinguishable from mathematics dissertations).

Finally, to anticipate a possible follow-up question, there is a list of short published papers here (search for "Nelson"). Note that the question of the shortest published paper is not as urban-legendy because the facts are easier to verify. I looked up the short papers listed there myself and found them to be quite interesting. So in addition to trying to settle an urban legend, I am hoping that this question will bring to light some interesting and lesser known mathematics.

  • ho.history-overview
  • 9 $\begingroup$ I think it really should be CW. It makes no sense to me that the shorter the proposed candidate, the more reputation the proposer will get. It will also lower the temptation for people to post gossipy stuff. $\endgroup$ –  Alex B. Commented Feb 8, 2011 at 15:31
  • 3 $\begingroup$ The only reasonable interpretation of the question is extremely short theses in general, because there is more than one measure of the length of a thesis. Moreover in some cases it's debatable whether a particular document really is a thesis or the full thesis. It realy should be CW. $\endgroup$ –  Greg Kuperberg Commented Feb 8, 2011 at 15:40
  • 3 $\begingroup$ How would you like to count? Do all the cover pages, table of contents, abstract, etc. count? How about references? Or do you begin with the introduction and only include the content? $\endgroup$ –  Noah Stein Commented Feb 8, 2011 at 16:33
  • 5 $\begingroup$ -1. This question is terrible. I'm sure I could reformat my thesis in a silly font size to make it have a ludicrously small number of pages. $\endgroup$ –  Peter McNamara Commented Feb 8, 2011 at 19:50
  • 8 $\begingroup$ @Peter McNamara: you probably could, but I'm pretty certain that this is not the issue being discussed here. Anyway, most universities have specific formatting standards and would not let you submit it in this form. $\endgroup$ –  Thierry Zell Commented Feb 8, 2011 at 20:05

9 Answers 9

David Rector's thesis ("An Unstable Adams Spectral Sequence", MIT 1966) is 9 pages, according to the record at the MIT library . I haven't seen the actual thesis for many years, but I'm pretty the actual mathematical content takes about 3 pages total, and is largely identical to the published version in Topology (1966, same title, doi link: https://doi.org/10.1016/0040-9383(66)90025-5 ), which is 3 pages plus bibliography. (Dan Kan, his advisor, likes short papers.)

  • 2 $\begingroup$ Probably not a coincidence. $\endgroup$ –  Tyler Lawson Commented Feb 8, 2011 at 20:25
  • 3 $\begingroup$ Accepted provisionally. Enough people seem instinctively annoyed at this question that it seems likely to be closed soon (despite the fact that I'm asking it on MO in order to prevent its proliferation elsewhere). It doesn't seem likely that a stronger candidate will emerge before then. Ideally I'd like to examine the thesis myself before accepting the answer but I don't feel like purchasing it and it may be a while before my next trip to Boston. $\endgroup$ –  Timothy Chow Commented Feb 9, 2011 at 15:56
  • 4 $\begingroup$ Aside from the library copy, there should be a slightly more accessible copy in the MIT Math reading room. (They used to keep copies of theses there, and I assume they still do.) Maybe somebody reading this could wander down the hall and take a look. :) $\endgroup$ –  Charles Rezk Commented Feb 9, 2011 at 18:55
  • 31 $\begingroup$ I'm in the reading room now. Rector's thesis comprises a title page, an abstract page, a table of contents page, 7 pages of math, a bibliography page (8 refs.), and a biographical note page. The MIT library record's "9 leaves" exclude the title/abstract/contents, which are not numbered. Except for some trivial changes in wording in the intro, the mathematical part is indeed identical to the 4-page Topology paper, vol. 5 (1966), 343-346. The thesis occupies more space since it's manually typed; not including section titles, the 4 sections are respectively 18, 23, 42, and 36 typewritten lines. $\endgroup$ –  Timothy Chow Commented Aug 19, 2011 at 18:44
  • $\begingroup$ 119 typewritten lines! $\endgroup$ –  David Roberts ♦ Commented Oct 14, 2022 at 10:53

John Nash's thesis was 26 pages, and had two references in the bibliography.

Edmund Landau's thesis was 13 pages long.

  • $\begingroup$ There is an English translation here: arxiv.org/PS_cache/arxiv/pdf/0803/0803.3787v2.pdf That document is 17 pages (including title page, etc.). $\endgroup$ –  Zach N Commented Feb 8, 2011 at 18:06
  • 2 $\begingroup$ For a link to a scanned version of Landau's thesis see here gdz.sub.uni-goettingen.de/dms/load/img/?PPN=PPN317979566 The document has 18 pages, of which 2 are completely empty, indeed the catalogue of the libraries of Berlin gives 16 pages as lengths. (the French national library catalogue gives 18). Moreover, one page is a title page, one is a dedication, and one is a vita. So, depending on what one actually counts, 18, 16, or 13. According to library catalogues 16 or 18. $\endgroup$ –  user9072 Commented Feb 8, 2011 at 18:15

I believe the shortest PhD thesis is of Burt Totaro "Milnor K-theory is the simplest part of algebraic K-theory", 12 pages.

Milnor K-theory is the simplest part of algebraic K-theory, Ph.D. thesis, University of California, Berkeley, 1989; published as: K-Theory 6 (1992), 177-189 ( Portico archived version ).

Burt Totaro's webpage at Cambridge , including a pdf of the published version .

  • 1 $\begingroup$ its complete thesis. I gave two references here, Milnor K-theory is the simplest part of algebraic K-theory, Ph.D. thesis, University of California, Berkeley, 1989 and K-Theory 6 (1992), 177-189 $\endgroup$ –  J Verma Commented Feb 8, 2011 at 17:43
  • 2 $\begingroup$ I noticed, but the reference to the actual thesis does not have a page numbers (and it is somewhat surprising that the number of pages did not change from the thesis to K-theory's format) :) $\endgroup$ –  Mariano Suárez-Álvarez Commented Feb 8, 2011 at 17:45
  • 15 $\begingroup$ Totaro's 1989 thesis is titled "K-theory and algebraic cycles" and, according to ProQuest, is 20 pages. If your university library subscribes to ProQuest, you can see a PDF preview of the thesis by searching for "Totaro, Burt" in the Dissertations and Theses database. $\endgroup$ –  Zach N Commented Feb 8, 2011 at 18:02
  • 4 $\begingroup$ You can download it on mathscinet. It has 16 numbered pages, incl. 1 page of bibliography. Definitions start on page 1 though, not much of an introduction. $\endgroup$ –  fherzig Commented Feb 9, 2011 at 2:58
  • 1 $\begingroup$ I downloaded the thesis from ProQuest. It comprises a signature page, a title page, an abstract page, an epigram page, 15 pages of (TeXed) math, and a bibliography page. Short, but not as short as David Rector's thesis. $\endgroup$ –  Timothy Chow Commented Aug 19, 2011 at 19:00

This is not really an answer because these PhD's were never actually written, but anyway: in his book A mathematicians miscellany (in the chapter on math with minimum raw material) Littlewood gave 2 examples that could have been 2-line PhDs:

(1) Cayley's projective definition of length

(2)Theorem: An integral function never 0 or 1 is a constant. Proof: $\exp(i\Omega(f(z)))$ is a bounded integral function. ($\Omega$ is inverse to the elliptic modular function.)

  • 3 $\begingroup$ Richard, perhaps you overlooked that Gerry Myerson already gave this example on the meta discussion? $\endgroup$ –  Timothy Chow Commented Feb 8, 2011 at 15:53
  • 19 $\begingroup$ I don't think it is reasonable to expect people to have read all the meta discussion before posting on a regular thread. This is a sort of fluff question, so it doesn't matter much, but in general I think it should be fine to repost answers from meta, so that the main thread has the most complete record of answers to the question. $\endgroup$ –  David E Speyer Commented Feb 8, 2011 at 16:52
  • 7 $\begingroup$ While I agree with David Speyer in general, I also do not think this should have been posted as an answer to this particular question, given the questioner's emphasis on restricting the scope of the question. $\endgroup$ –  Charles Staats Commented Feb 8, 2011 at 17:27
  • 6 $\begingroup$ @David: I too would agree that in general it’s not reasonable to expect people to read meta discussions on questions before answering them. But this question specifically asks us to, and gives good reasons for it. $\endgroup$ –  Peter LeFanu Lumsdaine Commented Feb 8, 2011 at 20:18
  • $\begingroup$ (2) is a trivial corollary of Picard's little theorem. $\endgroup$ –  tst Commented Jun 13, 2017 at 3:06

I already posted this on meta where there was some discussion of whether the page count was correct. My guess is that it is, so I will post it here too:

MR2615548 Martens, Henrik Herman Buvik A NEW PROOF OF TORELLI'S THEOREM. Thesis (Ph.D.)–New York University. 1962. 12 pp.

  • 8 $\begingroup$ Compared to that, the thesis of his student Kristian Seip was a massive tome, weighing in at 30 pages. $\endgroup$ –  Harald Hanche-Olsen Commented Feb 9, 2011 at 7:56

Kurt Gödel seems to be a good candidate for this "prize".

Let me quote from this review (see Page 74) of Kurt Gödel Collected Works.

The first three works of Godel in this volume are his dissertation of 1929 ( twenty-one pages in English ), a revised and substantially abbreviated version (eleven pages in English) published in 1930, and a brief abstract based on a presentation of Godel's results in Konigsberg on 6 September 1930. Of all of Godel's longer, published writings, his dissertation has been, until now, the most difficult to obtain, and is here translated for the first time into English, by Stefan Bauer-Mengelberg and van Heijenoort.
  • 3 $\begingroup$ The original version of his thesis seems to have 33 pages; see permalink.obvsg.at/AC05181322 (the number next to "Umfangsangabe") $\endgroup$ –  user9072 Commented Feb 8, 2011 at 16:59
  • 2 $\begingroup$ I cannot say anything about the original version (my German skills are null, not almost null). But I have just checked my copy of the Collected Works (unfortunately I have not found any online library to link), and in pages 60-101 we can find Godel's dissertation (even pages match German, while odd ones match English). Thus, the description "21 pages in English" is accurate. $\endgroup$ –  boumol Commented Feb 8, 2011 at 17:14
  • 1 $\begingroup$ I did not want to imply your claim was not accurate. Only, as I understand the question, it is about the actual document the person submitted as a thesis. Thus, I supplemented this information, documenting it by the link to the entry of Goedels thesis in the joint library catalogue of Austrian (academic) libraries. It specifies title, author, year, lengths (that's the Umfangsangabe, S. abbreviates 'Seiten' i.e. pages), the type of document (thesis of University of Vienna (Wien)), and finally the specific libraries where it can be found. $\endgroup$ –  user9072 Commented Feb 8, 2011 at 17:48

According to mathscinet, Eva Kallin's thesis was 14 pages.

  • 3 $\begingroup$ This is promising, but as the question mentions and the meta thread shows, MathSciNet alone is not an authoritative reference. More documentation? $\endgroup$ –  Peter LeFanu Lumsdaine Commented Feb 8, 2011 at 20:12

Barry Mazur's thesis on the proof of the Schoenflies conjecture (and introducing the method of infinite repetition in topology) is 5 pages long.

  • 4 $\begingroup$ According to "Mathematical apocrypha redux" by Krantz, Mazur's thesis was 26 pages long. $\endgroup$ –  Michael Greinecker Commented Feb 8, 2011 at 16:22
  • 2 $\begingroup$ Mathscinet says his thesis is 30 pages. $\endgroup$ –  Jaikrishnan Commented Feb 8, 2011 at 16:26
  • 70 $\begingroup$ Well, it may not be the shortest but it surelyt appears to have the most variable number of pages! $\endgroup$ –  Mariano Suárez-Álvarez Commented Feb 8, 2011 at 16:42
  • 17 $\begingroup$ Let's please heed Timothy's call to do one's homework carefully. "Don't post a candidate unless you're sure your facts are correct, and please give some indication why you're so sure. Read the meta discussion before posting." $\endgroup$ –  Todd Trimble ♦ Commented Feb 8, 2011 at 16:47
  • $\begingroup$ Yikes. I had never looked at the thesis, but just the published version in the Bulletin of the AMS which is 5 pages long. $\endgroup$ –  Victor Miller Commented Feb 23, 2011 at 22:12

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Tips for writing a PhD dissertation: FAQs answered

From how to choose a topic to writing the abstract and managing work-life balance through the years it takes to complete a doctorate, here we collect expert advice to get you through the PhD writing process

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Embarking on a PhD is “probably the most challenging task that a young scholar attempts to do”, write Mark Stephan Felix and Ian Smith in their practical guide to dissertation and thesis writing. After years of reading and research to answer a specific question or proposition, the candidate will submit about 80,000 words that explain their methods and results and demonstrate their unique contribution to knowledge. Here are the answers to frequently asked questions about writing a doctoral thesis or dissertation.

What’s the difference between a dissertation and a thesis?

Whatever the genre of the doctorate, a PhD must offer an original contribution to knowledge. The terms “dissertation” and “thesis” both refer to the long-form piece of work produced at the end of a research project and are often used interchangeably. Which one is used might depend on the country, discipline or university. In the UK, “thesis” is generally used for the work done for a PhD, while a “dissertation” is written for a master’s degree. The US did the same until the 1960s, says Oxbridge Essays, when the convention switched, and references appeared to a “master’s thesis” and “doctoral dissertation”. To complicate matters further, undergraduate long essays are also sometimes referred to as a thesis or dissertation.

The Oxford English Dictionary defines “thesis” as “a dissertation, especially by a candidate for a degree” and “dissertation” as “a detailed discourse on a subject, especially one submitted in partial fulfilment of the requirements of a degree or diploma”.

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The title “doctor of philosophy”, incidentally, comes from the degree’s origins, write Dr Felix, an associate professor at Mahidol University in Thailand, and Dr Smith, retired associate professor of education at the University of Sydney , whose co-authored guide focuses on the social sciences. The PhD was first awarded in the 19th century by the philosophy departments of German universities, which at that time taught science, social science and liberal arts.

How long should a PhD thesis be?

A PhD thesis (or dissertation) is typically 60,000 to 120,000 words ( 100 to 300 pages in length ) organised into chapters, divisions and subdivisions (with roughly 10,000 words per chapter) – from introduction (with clear aims and objectives) to conclusion.

The structure of a dissertation will vary depending on discipline (humanities, social sciences and STEM all have their own conventions), location and institution. Examples and guides to structure proliferate online. The University of Salford , for example, lists: title page, declaration, acknowledgements, abstract, table of contents, lists of figures, tables and abbreviations (where needed), chapters, appendices and references.

A scientific-style thesis will likely need: introduction, literature review, materials and methods, results, discussion, bibliography and references.

As well as checking the overall criteria and expectations of your institution for your research, consult your school handbook for the required length and format (font, layout conventions and so on) for your dissertation.

A PhD takes three to four years to complete; this might extend to six to eight years for a part-time doctorate.

What are the steps for completing a PhD?

Before you get started in earnest , you’ll likely have found a potential supervisor, who will guide your PhD journey, and done a research proposal (which outlines what you plan to research and how) as part of your application, as well as a literature review of existing scholarship in the field, which may form part of your final submission.

In the UK, PhD candidates undertake original research and write the results in a thesis or dissertation, says author and vlogger Simon Clark , who posted videos to YouTube throughout his own PhD journey . Then they submit the thesis in hard copy and attend the viva voce (which is Latin for “living voice” and is also called an oral defence or doctoral defence) to convince the examiners that their work is original, understood and all their own. Afterwards, if necessary, they make changes and resubmit. If the changes are approved, the degree is awarded.

The steps are similar in Australia , although candidates are mostly assessed on their thesis only; some universities may include taught courses, and some use a viva voce. A PhD in Australia usually takes three years full time.

In the US, the PhD process begins with taught classes (similar to a taught master’s) and a comprehensive exam (called a “field exam” or “dissertation qualifying exam”) before the candidate embarks on their original research. The whole journey takes four to six years.

A PhD candidate will need three skills and attitudes to get through their doctoral studies, says Tara Brabazon , professor of cultural studies at Flinders University in Australia who has written extensively about the PhD journey :

  • master the academic foundational skills (research, writing, ability to navigate different modalities)
  • time-management skills and the ability to focus on reading and writing
  • determined motivation to do a PhD.

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How do I choose the topic for my PhD dissertation or thesis?

It’s important to find a topic that will sustain your interest for the years it will take to complete a PhD. “Finding a sustainable topic is the most important thing you [as a PhD student] would do,” says Dr Brabazon in a video for Times Higher Education . “Write down on a big piece of paper all the topics, all the ideas, all the questions that really interest you, and start to cross out all the ones that might just be a passing interest.” Also, she says, impose the “Who cares? Who gives a damn?” question to decide if the topic will be useful in a future academic career.

The availability of funding and scholarships is also often an important factor in this decision, says veteran PhD supervisor Richard Godwin, from Harper Adams University .

Define a gap in knowledge – and one that can be questioned, explored, researched and written about in the time available to you, says Gina Wisker, head of the Centre for Learning and Teaching at the University of Brighton. “Set some boundaries,” she advises. “Don’t try to ask everything related to your topic in every way.”

James Hartley, research professor in psychology at Keele University, says it can also be useful to think about topics that spark general interest. If you do pick something that taps into the zeitgeist, your findings are more likely to be noticed.

You also need to find someone else who is interested in it, too. For STEM candidates , this will probably be a case of joining a team of people working in a similar area where, ideally, scholarship funding is available. A centre for doctoral training (CDT) or doctoral training partnership (DTP) will advertise research projects. For those in the liberal arts and social sciences, it will be a matter of identifying a suitable supervisor .

Avoid topics that are too broad (hunger across a whole country, for example) or too narrow (hunger in a single street) to yield useful solutions of academic significance, write Mark Stephan Felix and Ian Smith. And ensure that you’re not repeating previous research or trying to solve a problem that has already been answered. A PhD thesis must be original.

What is a thesis proposal?

After you have read widely to refine your topic and ensure that it and your research methods are original, and discussed your project with a (potential) supervisor, you’re ready to write a thesis proposal , a document of 1,500 to 3,000 words that sets out the proposed direction of your research. In the UK, a research proposal is usually part of the application process for admission to a research degree. As with the final dissertation itself, format varies among disciplines, institutions and countries but will usually contain title page, aims, literature review, methodology, timetable and bibliography. Examples of research proposals are available online.

How to write an abstract for a dissertation or thesis

The abstract presents your thesis to the wider world – and as such may be its most important element , says the NUI Galway writing guide. It outlines the why, how, what and so what of the thesis . Unlike the introduction, which provides background but not research findings, the abstract summarises all sections of the dissertation in a concise, thorough, focused way and demonstrates how well the writer understands their material. Check word-length limits with your university – and stick to them. About 300 to 500 words is a rough guide ­– but it can be up to 1,000 words.

The abstract is also important for selection and indexing of your thesis, according to the University of Melbourne guide , so be sure to include searchable keywords.

It is the first thing to be read but the last element you should write. However, Pat Thomson , professor of education at the University of Nottingham , advises that it is not something to be tackled at the last minute.

How to write a stellar conclusion

As well as chapter conclusions, a thesis often has an overall conclusion to draw together the key points covered and to reflect on the unique contribution to knowledge. It can comment on future implications of the research and open up new ideas emanating from the work. It is shorter and more general than the discussion chapter , says online editing site Scribbr, and reiterates how the work answers the main question posed at the beginning of the thesis. The conclusion chapter also often discusses the limitations of the research (time, scope, word limit, access) in a constructive manner.

It can be useful to keep a collection of ideas as you go – in the online forum DoctoralWriting SIG , academic developer Claire Aitchison, of the University of South Australia , suggests using a “conclusions bank” for themes and inspirations, and using free-writing to keep this final section fresh. (Just when you feel you’ve run out of steam.) Avoid aggrandising or exaggerating the impact of your work. It should remind the reader what has been done, and why it matters.

How to format a bibliography (or where to find a reliable model)

Most universities use a preferred style of references , writes THE associate editor Ingrid Curl. Make sure you know what this is and follow it. “One of the most common errors in academic writing is to cite papers in the text that do not then appear in the bibliography. All references in your thesis need to be cross-checked with the bibliography before submission. Using a database during your research can save a great deal of time in the writing-up process.”

A bibliography contains not only works cited explicitly but also those that have informed or contributed to the research – and as such illustrates its scope; works are not limited to written publications but include sources such as film or visual art.

Examiners can start marking from the back of the script, writes Dr Brabazon. “Just as cooks are judged by their ingredients and implements, we judge doctoral students by the calibre of their sources,” she advises. She also says that candidates should be prepared to speak in an oral examination of the PhD about any texts included in their bibliography, especially if there is a disconnect between the thesis and the texts listed.

Can I use informal language in my PhD?

Don’t write like a stereotypical academic , say Kevin Haggerty, professor of sociology at the University of Alberta , and Aaron Doyle, associate professor in sociology at Carleton University , in their tongue-in-cheek guide to the PhD journey. “If you cannot write clearly and persuasively, everything about PhD study becomes harder.” Avoid jargon, exotic words, passive voice and long, convoluted sentences – and work on it consistently. “Writing is like playing guitar; it can improve only through consistent, concerted effort.”

Be deliberate and take care with your writing . “Write your first draft, leave it and then come back to it with a critical eye. Look objectively at the writing and read it closely for style and sense,” advises THE ’s Ms Curl. “Look out for common errors such as dangling modifiers, subject-verb disagreement and inconsistency. If you are too involved with the text to be able to take a step back and do this, then ask a friend or colleague to read it with a critical eye. Remember Hemingway’s advice: ‘Prose is architecture, not interior decoration.’ Clarity is key.”

How often should a PhD candidate meet with their supervisor?

Since the PhD supervisor provides a range of support and advice – including on research techniques, planning and submission – regular formal supervisions are essential, as is establishing a line of contact such as email if the candidate needs help or advice outside arranged times. The frequency varies according to university, discipline and individual scholars.

Once a week is ideal, says Dr Brabazon. She also advocates a two-hour initial meeting to establish the foundations of the candidate-supervisor relationship .

The University of Edinburgh guide to writing a thesis suggests that creating a timetable of supervisor meetings right at the beginning of the research process will allow candidates to ensure that their work stays on track throughout. The meetings are also the place to get regular feedback on draft chapters.

“A clear structure and a solid framework are vital for research,” writes Dr Godwin on THE Campus . Use your supervisor to establish this and provide a realistic view of what can be achieved. “It is vital to help students identify the true scientific merit, the practical significance of their work and its value to society.”

How to proofread your dissertation (what to look for)

Proofreading is the final step before printing and submission. Give yourself time to ensure that your work is the best it can be . Don’t leave proofreading to the last minute; ideally, break it up into a few close-reading sessions. Find a quiet place without distractions. A checklist can help ensure that all aspects are covered.

Proofing is often helped by a change of format – so it can be easier to read a printout rather than working off the screen – or by reading sections out of order. Fresh eyes are better at spotting typographical errors and inconsistencies, so leave time between writing and proofreading. Check with your university’s policies before asking another person to proofread your thesis for you.

As well as close details such as spelling and grammar, check that all sections are complete, all required elements are included , and nothing is repeated or redundant. Don’t forget to check headings and subheadings. Does the text flow from one section to another? Is the structure clear? Is the work a coherent whole with a clear line throughout?

Ensure consistency in, for example, UK v US spellings, capitalisation, format, numbers (digits or words, commas, units of measurement), contractions, italics and hyphenation. Spellchecks and online plagiarism checkers are also your friend.

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How do you manage your time to complete a PhD dissertation?

Treat your PhD like a full-time job, that is, with an eight-hour working day. Within that, you’ll need to plan your time in a way that gives a sense of progress . Setbacks and periods where it feels as if you are treading water are all but inevitable, so keeping track of small wins is important, writes A Happy PhD blogger Luis P. Prieto.

Be specific with your goals – use the SMART acronym (specific, measurable, attainable, relevant and timely).

And it’s never too soon to start writing – even if early drafts are overwritten and discarded.

“ Write little and write often . Many of us make the mistake of taking to writing as one would take to a sprint, in other words, with relatively short bursts of intense activity. Whilst this can prove productive, generally speaking it is not sustainable…In addition to sustaining your activity, writing little bits on a frequent basis ensures that you progress with your thinking. The comfort of remaining in abstract thought is common; writing forces us to concretise our thinking,” says Christian Gilliam, AHSS researcher developer at the University of Cambridge ’s Centre for Teaching and Learning.

Make time to write. “If you are more alert early in the day, find times that suit you in the morning; if you are a ‘night person’, block out some writing sessions in the evenings,” advises NUI Galway’s Dermot Burns, a lecturer in English and creative arts. Set targets, keep daily notes of experiment details that you will need in your thesis, don’t confuse writing with editing or revising – and always back up your work.

What work-life balance tips should I follow to complete my dissertation?

During your PhD programme, you may have opportunities to take part in professional development activities, such as teaching, attending academic conferences and publishing your work. Your research may include residencies, field trips or archive visits. This will require time-management skills as well as prioritising where you devote your energy and factoring in rest and relaxation. Organise your routine to suit your needs , and plan for steady and regular progress.

How to deal with setbacks while writing a thesis or dissertation

Have a contingency plan for delays or roadblocks such as unexpected results.

Accept that writing is messy, first drafts are imperfect, and writer’s block is inevitable, says Dr Burns. His tips for breaking it include relaxation to free your mind from clutter, writing a plan and drawing a mind map of key points for clarity. He also advises feedback, reflection and revision: “Progressing from a rough version of your thoughts to a superior and workable text takes time, effort, different perspectives and some expertise.”

“Academia can be a relentlessly brutal merry-go-round of rejection, rebuttal and failure,” writes Lorraine Hope , professor of applied cognitive psychology at the University of Portsmouth, on THE Campus. Resilience is important. Ensure that you and your supervisor have a relationship that supports open, frank, judgement-free communication.

If you would like advice and insight from academics and university staff delivered direct to your inbox each week, sign up for the Campus newsletter .

Authoring a PhD Thesis: How to Plan, Draft, Write and Finish a Doctoral Dissertation (2003), by Patrick Dunleavy

Writing Your Dissertation in Fifteen Minutes a Day: A Guide to Starting, Revising, and Finishing Your Doctoral Thesis (1998), by Joan Balker

Challenges in Writing Your Dissertation: Coping with the Emotional, Interpersonal, and Spiritual Struggles (2015), by Noelle Sterne

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How long is a Thesis or Dissertation? [the data] PhD, Masters +

Writing a thesis for your undergraduate, master’s, or PhD can be a very daunting task. Especially when you consider how long a thesis can get. However, not all theses are the same length and the expected submission length is dependent on the level of study that you are currently enrolled in and the field in which you are studying.

An undergraduate thesis is likely to be about 20 to 50 pages long. A Master’s thesis is likely to be between 30 and 100 pages in length and a PhD dissertation is likely to be between 50 and 450 pages long.

In the table below I highlight the typical length of an undergraduate, master’s, and PhD.

Level of studyPagesWords
20 – 5010,000 – 30,000
30 – 10025,000 – 50,000
50 – 45060,000 – 80,000

It is important to note that this is highly dependent on the field of study and the expectations of your university, field, and research group.

If you want to know more about how long a Masters thesis and PhD dissertation is you can check out my other articles:

  • How Long is a Masters Thesis? [Your writing guide]
  • How long is a PhD dissertation? [Data by field]
  • How to write a masters thesis in 2 months [Easy steps to start writing]

These articles go into a lot more detail and specifics of each level of study, including master’s and doctoral degrees.

Let’s take a more detailed look at the length of a thesis or dissertation. We’ll start from the very basics including what a dissertation or thesis really is.

What exactly is a thesis or a dissertation?

A thesis or a dissertation is a research project that is typically required of students in order to gain an advanced degree.

A dissertation is usually much longer and more detailed than a thesis, but they both involve extensive research and provide an in-depth analysis of their given subject.

Many people use the term interchangeably but quite often a Masters level research project results in a thesis. While a PhD research project results in a much longer dissertation.

Thesis work is usually completed over the course of several months and can require multiple drafts and revisions before being accepted. These will be looked over by your supervisor to ensure that you are meeting the expectations and standards of your research field.

PhD Dissertations are typically even more involved, taking years to complete. My PhD took me three years to complete but it is usual for them to take more than five years.

Both a thesis and a dissertation involve researching a particular topic, formulating an argument based on evidence gathered from the research, and presenting the findings in written form for review by peers or faculty members.

My Master’s thesis was reviewed by the chemistry Department whilst my PhD thesis was sent to experts in the field around the world.

Ultimately, these experts provide a commentary on whether or not you have reached the standards required of the University for admittance into the degree and the final decision will be made upon reviewing these comments by your universities graduation committee.

There are several outcomes including:

  • accepted without changes – this is where you must make no changes to your thesis and is accepted as is.
  • accepted with minor changes this is where your thesis will require some minor changes before being admitted to the degree. Usually, it is not sent back to the reviewers after the thesis defence.
  • Major changes – this is where the committee has decided that you need to rework a number of major themes in your thesis and will likely want to see it at a later stage.
  • Rejected – this is where the dissertation or thesis is rejected and the recommendation to downgrade your degree program is made.

What is the typical length of a thesis or dissertation?

The length of a thesis or dissertation varies significantly according to the field of study and institution, especially in social sciences.

Generally, an undergraduate thesis is between 20-50 pages long while a PhD dissertation can range from 90-500 pages in length.

However, longer is not necessarily better as a highly mathematical PhD thesis with proofs may only be 50 pages long.

It also depends on the complexity of the topic being studied and the amount of research required to complete it.

A PhD dissertation should contain as many pages and words as it takes to outline the current state of your field and provide adequate background information, present your results, and provide confidence in your conclusions. A PhD dissertation will also contain figures, graphs, schematics, and other large pictorial items that can easily inflate the page count.

Here is a boxplot summary of many different fields of study and the number of pages of a typical PhD dissertation in the field, including social sciences.  It has been created by Marcus Beck  from all of the dissertations at the University of Minnesota.

how long is a thesis

Typically, the mathematical sciences, economics, and biostatistics theses and dissertations tend to be shorter because they rely on mathematical formulas to provide proof of their results rather than diagrams and long explanations.

On the other end of the scale, English, communication studies, political science, history and anthropology are often the largest theses in terms of pages and word count because of the number of words it takes to provide proof and depth of their results.

At the end of the day, it is important that your thesis gets signed off by your review committee and other experts in the field. Your supervisor will be the main judge of whether or not your dissertation is capable of satisfying the requirements of a master’s or doctoral degree in your field. 

How Many Pages Should a Master or PhD Thesis Have? Length of a thesis?

The length of a master’s thesis can vary greatly depending on the subject and format.

Generally, a masters thesis is expected to be around 100 pages long and should include:

  • a title page,
  • table of contents,
  • introduction,
  • literature review, 
  • main test and body of work, 
  • discussions and citations,
  • conclusion,
  • bibliography
  • and (sometimes) appendix.

Your supervisor should provide you with a specific format for your dissertation or thesis that you are expected to follow.

Depending on your field of study and the word count specified by your supervisor, these guidelines may change. The student must ask their advisor for examples of past student thesis and doctoral dissertations. 

For example, if there is a limited number of words allowed in the thesis then it may not be possible to have 100 pages or more for the thesis.

Additionally, if you are including a lot of technical information such as diagrams or tables in the appendix of your dissertation or thesis, then this could increase the page count as well. For example, my PhD thesis contained a page like the one below.

This page only contains images from atomic force microscopy. Because my PhD was very visual, many pages like this exist.

how long is a thesis - it can be really long if there are loads of pages like this!

Ultimately it is important to consult with your supervisor and determine how many pages your master’s thesis or PhD dissertation will be expected to have.

How long does it take to write a graduate thesis? Write your thesis quickly

Writing a graduate thesis can be a daunting task.

It is typically expected to take anywhere from one to three years, depending on the subject and scope of the project.

However, this is not just writing. A typical thesis or dissertation will require you to:

  • formulate a research question
  • do a literature review
  • create research methodology
  • perform original research
  • collect and analyse results
  • write peer-reviewed research papers
  • write a PhD/masters thesis
  • submit thesis and respond to examiners comments.

The actual writing component of a thesis or dissertation can take anywhere from one month to 6 months depending on how focused the PhD student is.

The amount of time it takes to write a thesis or dissertation can vary based on many factors, such as the type of research required, the length of the project, and other commitments that may interfere with progress.

Some students may have difficulty focusing or understanding their topic which can also add to the amount of time it takes to complete the project.

Regardless, writing a thesis is an important part of obtaining a graduate degree and should not be taken lightly.

It requires dedication and determination in order for one to successfully complete a thesis or dissertation within an appropriate timeframe.

In my YouTube video, below, I talk about how to finish your thesis or dissertation quickly:

It is full of a load of secrets including owning your day, managing your supervisor relationship, setting many goals, progress over perfection, and working with your own body clock to maximise productivity.

Wrapping up

This article has been through everything you need to know about the typical length of a dissertation or thesis.

The answer to this question is highly dependent on your field of study and the expectations of your supervisor and university.

Frequently Asked Questions: How Long is a Thesis

How long is a thesis.

A thesis is typically a document submitted in support of an academic degree, presenting the author’s research and findings. The length of a thesis can vary depending on the level of study and specific requirements of the institution. It can range from 60 – 100 pages for a master’s thesis to several hundred pages for a doctoral dissertation.

What is the difference between a thesis and a dissertation?

While the terms thesis and dissertation are often used interchangeably, they can have different meanings depending on the region or academic context. In some countries, a thesis is associated with a bachelor’s or master’s degree, while a dissertation is typically required for a doctoral degree.

Is there a specific word count for a thesis?

While there is no universal word count for a thesis , institutions may provide guidelines on the expected length based on the type of degree and academic discipline. It’s essential to adhere to the specified word count to meet academic standards.

How does the length of a thesis vary across different fields of study?

The length of a thesis can differ based on the field of study and the nature of the research being conducted. For example, a thesis in the social sciences may be shorter compared to one in a scientific or technical field that requires extensive data analysis and documentation.

math phd thesis length

Dr Andrew Stapleton has a Masters and PhD in Chemistry from the UK and Australia. He has many years of research experience and has worked as a Postdoctoral Fellow and Associate at a number of Universities. Although having secured funding for his own research, he left academia to help others with his YouTube channel all about the inner workings of academia and how to make it work for you.

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math phd thesis length

How Long is a Dissertation for a PhD?

How long is a dissertation? This is one of the most common questions asked by current or aspiring doctoral students.

How Long is a Dissertation for a PhD

A dissertation is an extensive research project that contributes fresh knowledge to the author’s field. Many doctoral programs require students to write, defend, and revise a dissertation to earn their degrees.

Editorial Listing ShortCode:

This article explores the average length of a dissertation and various factors that affect the scope of these papers.

How Long Is a Dissertation?

Man taking PhD, working on his dissertation

For most graduate students, the dissertation is the longest and most time-consuming paper they write throughout their education. This project aims to address a research question in the student’s field and build on existing bodies of scholarship.

Additionally, the dissertation showcases the student’s mastery of research methodologies. Because a dissertation must accomplish several goals, they tend to be ambitious and lengthy.

Most dissertations are 100 to 250 pages long. But many factors impact the length of a dissertation, including:

  • Academic field . Each discipline has different norms regarding dissertation content and length. For instance, literature dissertations often include extended close readings of texts, while science dissertations focus more on data analysis and research design. As a result, humanities dissertations are typically longer.
  • Institutional requirements . Most colleges and universities specify a minimum number of pages for the dissertation. You can ask your academic advisor or the graduate studies office about specific dissertation guidelines.
  • Topic complexity . Broad or complex research questions may require more data and analysis to answer, resulting in a longer dissertation.
  • Individual writing style . Some doctoral students enjoy writing elaborate and detailed sentences, while others prefer to get straight to the point.
  • Research methodologies . The approaches and methods used in the research can dramatically affect the length of the dissertation. For example, some dissertations include case studies, which may require lengthy explanations and analyses. Others use quantitative research methods and may include a number of charts and figures.
  • Committee feedback . Graduate students typically write their dissertations under the supervision of a faculty committee. These professors may recommend adding or cutting material during revision, impacting the dissertation’s final length.
  • Future goals . Some doctoral students plan to revise their dissertation and publish it as an academic monograph after graduation. Writing a longer dissertation gives them more material to adapt for their book.

Reading dissertations from your department and field can give you a better sense of the typical length.

How Long Are Dissertations by Discipline?

Woman doing research for her dissertation

The answer to “how long is a doctoral dissertation?” varies by field. In some disciplines, it’s common for graduate students to spend several years writing extensive manuscripts. Other fields produce shorter dissertations of approximately 100 pages.

Here are a few examples of dissertation norms for different disciplines:

  • Arts : Students studying art and creative writing may produce a creative dissertation. These projects typically consist of a theoretical introduction and a creative project, such as a poetry collection or a series of paintings. Creative dissertations may have fewer than 100 written pages, but the artistic elements can still be time-consuming.
  • Chemistry : These dissertations typically range from 100 to 150 pages. They typically describe experimental methodologies and draw conclusions from the author’s findings.
  • Computer science : Dissertations in this field are generally 50 to 150 pages long and often include quantitative data and algorithms.
  • English : PhD students in this field frequently write lengthy literature reviews and provide in-depth analyses of novels and other texts. English dissertations may range from 200 to 350 pages.

Faculty in your discipline can help you understand dissertation expectations.

Average Dissertation Length Per Chapter

Man working on a chapter of his dissertation

Dissertations typically have similar components and structures across disciplines. Here are six common chapters and their average lengths:

  • Introduction : The first chapter introduces the primary research topic and explains its relevance to the field. The introduction also provides a brief overview of the investigation method. Most introductions are 10 to 25 pages long.
  • Literature review : This chapter situates the project within the broader discipline. The author analyzes existing sources already written on their research topic and identifies biases or gaps that their own project remedies. Humanities dissertations tend to have 20 to 30 page literature reviews, while STEM dissertations devote 10 to 20 pages to this component.
  • Methodology : The third chapter typically focuses on the methods and techniques used to gather data. Ideally, this description should contain all the details that another researcher would need to duplicate the experiment and verify the results. The methodology chapter ranges from 15 to 25 pages, depending on the complexity of the research.
  • Findings : This section analyzes the collected data and discusses the results of the research project. It often includes charts, diagrams, and other data visualizations illustrating the findings. This chapter could be 20 to 50 pages, depending on the number of images and the amount of text needed to thoroughly examine the results.
  • Discussion : This chapter explains the significance of the results. The author may also compare their findings to previously published scholarship. The discussion is typically 15 to 25 pages.
  • Conclusion : The author summarizes their findings, acknowledges the limitations of their research, and suggests avenues for future studies. Most conclusions consist of 15 to 20 pages.

Some dissertations deviate from this format. For instance, English dissertations may devote several chapters to critical analyses of different genres or authors.

What Is a Dissertation?

students researching together for their dissertation

A dissertation is a lengthy written document that a doctoral student produces based on their original research. This project demonstrates the student’s expertise in their area of specialty and contributes to existing knowledge in the field.

Dissertations typically fall into one of two categories. Empirical dissertations require students to collect and analyze data. For instance, a psychology student may interview people about their mental health, while a marketing student could interpret sales data.

Theoretical dissertations focus on analyzing existing scholarship and secondary sources. For example, a literature student might research psychoanalysis and apply this approach to superhero comics.

How Many Pages Is a Dissertation?

Man reviewing some printouts of his dissertation

The length of a dissertation varies by discipline, institution, and research project. Some dissertations can be as short as 50 pages, while others may total 400 pages. But the average dissertation ranges from 100 pages to 250 pages.

Dissertations in the humanities and social sciences are typically the most extensive. These projects often include detailed analyses, case studies, and literature reviews. By contrast, dissertations in STEM fields like economics and mathematics are often 150 pages or less.

Students in these disciplines frequently use mathematical formulas and data visualizations to prove their findings, resulting in less text.

Why Are Dissertations So Long?

Woman reading her dissertation

Dissertations are typically the most extended assignments that students complete in graduate school. Several factors contribute to their length, including:

  • Depth of research . Doctoral students can spend several years researching their topic and analyzing data. This extensive work often takes hundreds of pages to summarize and explain.
  • Literature review . Most fields have extensive bodies of scholarship, so students spend many pages analyzing sources and contextualizing their projects.
  • Bibliography . Dissertations often cite dozens or even hundreds of sources, resulting in lengthy bibliographies.

Also, colleges often require dissertations to include additional materials like abstracts and tables of content.

What’s the Difference Between a Dissertation vs. Thesis?

Depending on the type of graduate program you enroll in, you may be required to write a dissertation or thesis. Here are the main differences between a thesis vs. dissertation .

If you want to develop your own concepts or theories, a dissertation can help you accomplish this goal.

What’s the Difference Between a Capstone vs. Dissertation?

There are doctorate programs with no dissertation. Like some online doctoral programs in education without dissertation requirements, they have a capstone project instead. Here’s a comparison of a dissertation vs. capstone .

Your career goals can help determine if a capstone or dissertation is right for you.

How Long Is a Dissertation for a PhD Degree?

students taking PhD degree, working on their dissertation

People often wonder, “How long is a PhD dissertation?” These projects are typically 100 to 250 pages long, though dissertations on complex topics may total more than 400 pages.

Writing a dissertation allows you to develop advanced expertise on your chosen research topic. Many students also publish portions of their dissertations as peer-reviewed articles and share their findings at conferences. These activities enhance your CV and may make you more competitive for academic jobs.

You can kickstart your doctoral journey today by researching accredited online programs in your field.

math phd thesis length

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A Question about Doctoral Theses in Mathematics [closed]

This is most definitely a soft question, which I'm sure may get some negative attention, and perhaps even be voted closed. However, I genuinely would like to generate answers on this matter as it concerns anyone that decides to get a doctorate in mathematics. (Since I believe this is the best forum to do so, here goes...)

Question : Does a doctoral thesis in mathematics have to contain more than an abstract, a proposition and proof of a new and exciting result?

I strongly believe that brevity is beauty to mathematicians and see no problem with a thesis that contains a lengthy abstract (~350 words) to generate enthusiasm and then jumps right into the heart of a novel and far-reaching result. The proof provided is extremely condensed in the spirit of Zagier , leaving almost all details that can be found elsewhere to be found elsewhere, in the works cited. If the result has merit, I see no reason why it can't be submitted or published in such a manner. To support my stance, I offer the following condensed theses:

  • David Rector, "An Unstable Adams Spectral Sequence", MIT (1966), 9 pgs.
  • Burt Totaro, "Milnor K-Theory is the simplest part of algebraic K-theory", Berkeley (1989), 12 pgs.
  • Herman Buvik, A New Proof of Torelli's Theorem, NYU (1962), 12 pgs.
  • Eva Kallin "A non-local function algebra" Berkeley (1963), 13 pgs.
  • Edmund Landau "Neuer Beweis der Gleichung $\sum_{k = 1}^{\infty} \frac{\mu(k)}{k} = 0$", Berlin University (1899), 14 pgs.
  • Barry Mazur, "On Embeddings of Spheres", Princeton (1959), 26 pgs.
  • John F. Nash "Non-Cooperative Games", Princeton (1950), 27 pgs.
  • Kevin Walker, "An Extension of Casson's Invariant to Rational Homology Spheres", Berkeley (1989). 29 pgs.

Although I'd appreciate to hear from anyone worth giving his two cents, I'm specifically eager to hear from those senior members of the community.

  • soft-question

Community's user avatar

  • 5 $\begingroup$ This seems more on-topic at Academia.SE . $\endgroup$ –  Zev Chonoles Commented May 21, 2013 at 23:56
  • 4 $\begingroup$ Although Academia.SE is still in beta, I'm happy to post there. Before I do so, I hope to ask the more mathematically minded here first. $\endgroup$ –  user02138 Commented May 21, 2013 at 23:58
  • 12 $\begingroup$ I do not think people are reading PhD theses as much as they did in the past (the Internet). Especially, if the thesis is long, there is a good chance that nobody would bother reading it. While writing a thesis is romantic to some, I think spending more than $3$ days on it (two of which goes to writing the Acknowledgement, and the rest of it goes to copying and pasting the already submitted/published papers) is just a waste of time. $\endgroup$ –  Lord Soth Commented May 22, 2013 at 0:25
  • 31 $\begingroup$ The proof provided is extremely condensed in the spirit of Zagier, leaving almost all details that can be found elsewhere to be found elsewhere, in the works cited. I consider this kind of presentation extremely discourteous to the reader. There is some excuse for it in a journal paper; there is none in a dissertation, in which one has essentially unlimited space. (This is independent of whether a single major result, presented without any expository background, ought to be sufficient.) $\endgroup$ –  Brian M. Scott Commented May 22, 2013 at 5:40
  • 10 $\begingroup$ @user02138: A thesis is a presentation of one or more results. A presentation of results that makes the reader work excessively hard is ipso facto an inferior presentation. $\endgroup$ –  Brian M. Scott Commented May 22, 2013 at 5:52

Not the answer you're looking for? Browse other questions tagged soft-question .

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math phd thesis length

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Mathematics PhD theses

A selection of Mathematics PhD thesis titles is listed below, some of which are available online:

2023   2022   2021 2020 2019 2018 2017 2016 2015 2014 2013 2012 2011 2010 2009 2008 2007 2006 2005 2004 2003 2002 2001 2000 1999 1998 1997 1996 1995 1994 1993 1992 1991

Reham Alahmadi - Asymptotic Study of Toeplitz Determinants with Fisher-Hartwig Symbols and Their Double-Scaling Limits

Anne Sophie Rojahn –  Localised adaptive Particle Filters for large scale operational NWP model

Melanie Kobras –  Low order models of storm track variability

Ed Clark –  Vectorial Variational Problems in L∞ and Applications to Data Assimilation

Katerina Christou – Modelling PDEs in Population Dynamics using Fixed and Moving Meshes  

Chiara Cecilia Maiocchi –  Unstable Periodic Orbits: a language to interpret the complexity of chaotic systems

Samuel R Harrison – Stalactite Inspired Thin Film Flow

Elena Saggioro – Causal network approaches for the study of sub-seasonal to seasonal variability and predictability

Cathie A Wells – Reformulating aircraft routing algorithms to reduce fuel burn and thus CO 2 emissions  

Jennifer E. Israelsson –  The spatial statistical distribution for multiple rainfall intensities over Ghana

Giulia Carigi –  Ergodic properties and response theory for a stochastic two-layer model of geophysical fluid dynamics

André Macedo –  Local-global principles for norms

Tsz Yan Leung  –  Weather Predictability: Some Theoretical Considerations

Jehan Alswaihli –  Iteration of Inverse Problems and Data Assimilation Techniques for Neural Field Equations

Jemima M Tabeart –  On the treatment of correlated observation errors in data assimilation

Chris Davies –  Computer Simulation Studies of Dynamics and Self-Assembly Behaviour of Charged Polymer Systems

Birzhan Ayanbayev –  Some Problems in Vectorial Calculus of Variations in L∞

Penpark Sirimark –  Mathematical Modelling of Liquid Transport in Porous Materials at Low Levels of Saturation

Adam Barker –  Path Properties of Levy Processes

Hasen Mekki Öztürk –  Spectra of Indefinite Linear Operator Pencils

Carlo Cafaro –  Information gain that convective-scale models bring to probabilistic weather forecasts

Nicola Thorn –  The boundedness and spectral properties of multiplicative Toeplitz operators

James Jackaman  – Finite element methods as geometric structure preserving algorithms

Changqiong Wang - Applications of Monte Carlo Methods in Studying Polymer Dynamics

Jack Kirk - The molecular dynamics and rheology of polymer melts near the flat surface

Hussien Ali Hussien Abugirda - Linear and Nonlinear Non-Divergence Elliptic Systems of Partial Differential Equations

Andrew Gibbs - Numerical methods for high frequency scattering by multiple obstacles (PDF-2.63MB)

Mohammad Al Azah - Fast Evaluation of Special Functions by the Modified Trapezium Rule (PDF-913KB)

Katarzyna (Kasia) Kozlowska - Riemann-Hilbert Problems and their applications in mathematical physics (PDF-1.16MB)

Anna Watkins - A Moving Mesh Finite Element Method and its Application to Population Dynamics (PDF-2.46MB)

Niall Arthurs - An Investigation of Conservative Moving-Mesh Methods for Conservation Laws (PDF-1.1MB)

Samuel Groth - Numerical and asymptotic methods for scattering by penetrable obstacles (PDF-6.29MB)

Katherine E. Howes - Accounting for Model Error in Four-Dimensional Variational Data Assimilation (PDF-2.69MB)

Jian Zhu - Multiscale Computer Simulation Studies of Entangled Branched Polymers (PDF-1.69MB)

Tommy Liu - Stochastic Resonance for a Model with Two Pathways (PDF-11.4MB)

Matthew Paul Edgington - Mathematical modelling of bacterial chemotaxis signalling pathways (PDF-9.04MB)

Anne Reinarz - Sparse space-time boundary element methods for the heat equation (PDF-1.39MB)

Adam El-Said - Conditioning of the Weak-Constraint Variational Data Assimilation Problem for Numerical Weather Prediction (PDF-2.64MB)

Nicholas Bird - A Moving-Mesh Method for High Order Nonlinear Diffusion (PDF-1.30MB)

Charlotta Jasmine Howarth - New generation finite element methods for forward seismic modelling (PDF-5,52MB)

Aldo Rota - From the classical moment problem to the realizability problem on basic semi-algebraic sets of generalized functions (PDF-1.0MB)

Sarah Lianne Cole - Truncation Error Estimates for Mesh Refinement in Lagrangian Hydrocodes (PDF-2.84MB)

Alexander J. F. Moodey - Instability and Regularization for Data Assimilation (PDF-1.32MB)

Dale Partridge - Numerical Modelling of Glaciers: Moving Meshes and Data Assimilation (PDF-3.19MB)

Joanne A. Waller - Using Observations at Different Spatial Scales in Data Assimilation for Environmental Prediction (PDF-6.75MB)

Faez Ali AL-Maamori - Theory and Examples of Generalised Prime Systems (PDF-503KB)

Mark Parsons - Mathematical Modelling of Evolving Networks

Natalie L.H. Lowery - Classification methods for an ill-posed reconstruction with an application to fuel cell monitoring

David Gilbert - Analysis of large-scale atmospheric flows

Peter Spence - Free and Moving Boundary Problems in Ion Beam Dynamics (PDF-5MB)

Timothy S. Palmer - Modelling a single polymer entanglement (PDF-5.02MB)

Mohamad Shukor Talib - Dynamics of Entangled Polymer Chain in a Grid of Obstacles (PDF-2.49MB)

Cassandra A.J. Moran - Wave scattering by harbours and offshore structures

Ashley Twigger - Boundary element methods for high frequency scattering

David A. Smith - Spectral theory of ordinary and partial linear differential operators on finite intervals (PDF-1.05MB)

Stephen A. Haben - Conditioning and Preconditioning of the Minimisation Problem in Variational Data Assimilation (PDF-3.51MB)

Jing Cao - Molecular dynamics study of polymer melts (PDF-3.98MB)

Bonhi Bhattacharya - Mathematical Modelling of Low Density Lipoprotein Metabolism. Intracellular Cholesterol Regulation (PDF-4.06MB)

Tamsin E. Lee - Modelling time-dependent partial differential equations using a moving mesh approach based on conservation (PDF-2.17MB)

Polly J. Smith - Joint state and parameter estimation using data assimilation with application to morphodynamic modelling (PDF-3Mb)

Corinna Burkard - Three-dimensional Scattering Problems with applications to Optical Security Devices (PDF-1.85Mb)

Laura M. Stewart - Correlated observation errors in data assimilation (PDF-4.07MB)

R.D. Giddings - Mesh Movement via Optimal Transportation (PDF-29.1MbB)

G.M. Baxter - 4D-Var for high resolution, nested models with a range of scales (PDF-1.06MB)

C. Spencer - A generalization of Talbot's theorem about King Arthur and his Knights of the Round Table.

P. Jelfs - A C-property satisfying RKDG Scheme with Application to the Morphodynamic Equations (PDF-11.7MB)

L. Bennetts - Wave scattering by ice sheets of varying thickness

M. Preston - Boundary Integral Equations method for 3-D water waves

J. Percival - Displacement Assimilation for Ocean Models (PDF - 7.70MB)

D. Katz - The Application of PV-based Control Variable Transformations in Variational Data Assimilation (PDF- 1.75MB)

S. Pimentel - Estimation of the Diurnal Variability of sea surface temperatures using numerical modelling and the assimilation of satellite observations (PDF-5.9MB)

J.M. Morrell - A cell by cell anisotropic adaptive mesh Arbitrary Lagrangian Eulerian method for the numerical solution of the Euler equations (PDF-7.7MB)

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M. Hunt - Unique extension of atomic functionals of JB*-Triples

D. Chilton - An alternative approach to the analysis of two-point boundary value problems for linear evolutionary PDEs and applications

T.H.A. Frame - Methods of targeting observations for the improvement of weather forecast skill

C. Hughes - On the topographical scattering and near-trapping of water waves

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D.A. Bailey - A ghost fluid, finite volume continuous rezone/remap Eulerian method for time-dependent compressible Euler flows

M. Henderson - Extending the edge-colouring of graphs

K. Allen - The propagation of large scale sediment structures in closed channels

D. Cariolaro - The 1-Factorization problem and same related conjectures

A.C.P. Steptoe - Extreme functionals and Stone-Weierstrass theory of inner ideals in JB*-Triples

D.E. Brown - Preconditioners for inhomogeneous anisotropic problems with spherical geometry in ocean modelling

S.J. Fletcher - High Order Balance Conditions using Hamiltonian Dynamics for Numerical Weather Prediction

C. Johnson - Information Content of Observations in Variational Data Assimilation

M.A. Wakefield - Bounds on Quantities of Physical Interest

M. Johnson - Some problems on graphs and designs

A.C. Lemos - Numerical Methods for Singular Differential Equations Arising from Steady Flows in Channels and Ducts

R.K. Lashley - Automatic Generation of Accurate Advection Schemes on Structured Grids and their Application to Meteorological Problems

J.V. Morgan - Numerical Methods for Macroscopic Traffic Models

M.A. Wlasak - The Examination of Balanced and Unbalanced Flow using Potential Vorticity in Atmospheric Modelling

M. Martin - Data Assimilation in Ocean circulation models with systematic errors

K.W. Blake - Moving Mesh Methods for Non-Linear Parabolic Partial Differential Equations

J. Hudson - Numerical Techniques for Morphodynamic Modelling

A.S. Lawless - Development of linear models for data assimilation in numerical weather prediction .

C.J.Smith - The semi lagrangian method in atmospheric modelling

T.C. Johnson - Implicit Numerical Schemes for Transcritical Shallow Water Flow

M.J. Hoyle - Some Approximations to Water Wave Motion over Topography.

P. Samuels - An Account of Research into an Area of Analytical Fluid Mechnaics. Volume II. Some mathematical Proofs of Property u of the Weak End of Shocks.

M.J. Martin - Data Assimulation in Ocean Circulation with Systematic Errors

P. Sims - Interface Tracking using Lagrangian Eulerian Methods.

P. Macabe - The Mathematical Analysis of a Class of Singular Reaction-Diffusion Systems.

B. Sheppard - On Generalisations of the Stone-Weisstrass Theorem to Jordan Structures.

S. Leary - Least Squares Methods with Adjustable Nodes for Steady Hyperbolic PDEs.

I. Sciriha - On Some Aspects of Graph Spectra.

P.A. Burton - Convergence of flux limiter schemes for hyperbolic conservation laws with source terms.

J.F. Goodwin - Developing a practical approach to water wave scattering problems.

N.R.T. Biggs - Integral equation embedding methods in wave-diffraction methods.

L.P. Gibson - Bifurcation analysis of eigenstructure assignment control in a simple nonlinear aircraft model.

A.K. Griffith - Data assimilation for numerical weather prediction using control theory. .

J. Bryans - Denotational semantic models for real-time LOTOS.

I. MacDonald - Analysis and computation of steady open channel flow .

A. Morton - Higher order Godunov IMPES compositional modelling of oil reservoirs.

S.M. Allen - Extended edge-colourings of graphs.

M.E. Hubbard - Multidimensional upwinding and grid adaptation for conservation laws.

C.J. Chikunji - On the classification of finite rings.

S.J.G. Bell - Numerical techniques for smooth transformation and regularisation of time-varying linear descriptor systems.

D.J. Staziker - Water wave scattering by undulating bed topography .

K.J. Neylon - Non-symmetric methods in the modelling of contaminant transport in porous media. .

D.M. Littleboy - Numerical techniques for eigenstructure assignment by output feedback in aircraft applications .

M.P. Dainton - Numerical methods for the solution of systems of uncertain differential equations with application in numerical modelling of oil recovery from underground reservoirs .

M.H. Mawson - The shallow-water semi-geostrophic equations on the sphere. .

S.M. Stringer - The use of robust observers in the simulation of gas supply networks .

S.L. Wakelin - Variational principles and the finite element method for channel flows. .

E.M. Dicks - Higher order Godunov black-oil simulations for compressible flow in porous media .

C.P. Reeves - Moving finite elements and overturning solutions .

A.J. Malcolm - Data dependent triangular grid generation. .

How Long is a PhD Thesis?

  • Maisie Dadswell
  • July 31, 2024

shutterstock 1361068373

If you look for an answer to the question, how long is a PhD thesis, you will notice that there is a lot of contradictory information on the internet because there is no one-size-fits-all answer for PhD students. Each university sets its maximum and minimum word count limits for PhD students.

PhD. Thesis Word Count

So how many words is a Ph.D. thesis? At UWS London, your PhD thesis should not typically exceed 40,000 words for PhD students studying Mathematics, Technology, Science, and Engineering – this excludes ancillary data. For PhD students studying in all other fields, a PhD thesis should not exceed 80,000 words.

How Many Pages is a PhD Thesis?

80,000 words should equate to around 350 pages, depending on how many photographs, tables, and figures are included. When you submit your thesis, you must also submit a statement of length. This statement confirms your thesis doesn’t exceed the word limit that has been set by your PhD committee. 

As for the minimum word limits, your PhD thesis should be near the maximum limit; however, it should never exceed it. The word limit includes the contents page and the appendices, excluding the acknowledgements, the abstract, the footnotes, the references, the bibliography, abbreviations, the glossary, and any notes made on translations.

How Flexible Are PhD Limits of Length?

All limits of length are set by your university degree committee. If, for any reason, you need to increase the specified word limit set by your university for your field of study, you will need to make a written request for permission to go above the set word count. You will also need to apply for permission to extend the word count of your thesis if you need to increase your word limit following your viva after the corrections are made.

How to Structure Your PhD Thesis

Spending time thinking about the structure of your thesis will always be time well-spent. To start the structuring process, organise the material you have already drafted into distinct chapters. Your thesis should read as a continuous story you are trying to write. What works well for some PhD candidates while structuring their thesis works less for others; you can try discussing the structure with someone with a background in your field of study, using mind-mapping techniques, creating a storyboard, using index cards, or placing post-it notes on a whiteboard. 

PhD structures can vary by field; however, they are commonly structured in the following way: 

  • The title page 
  • Acknowledgements 
  • Content page or pages
  • Introduction 
  • A literature review (which may have already been covered in the introduction)
  • Materials, sources and methods – unless these differ for each chapter 
  • Themed topic chapters 
  • Publications – if necessary 
  • References 
  • Appendices 

Once you have sketched out a rough structure, many PhD students find it beneficial to assign a word count for each chapter and section. However, you should always remain flexible between the sections and chapters until you have a final draft. If after you have your final draft, you find that you have exceeded the specified word count, you will likely find that you can cut out unnecessary words during the editing process. In terms of thesis writing, PhD candidates typically have a planned writing approach or a generative writing approach.

Planned Writers

For planned writers, it may be helpful to define sections under each chapter and break down sub-sections to paragraph by paragraph level. With this method, you can work methodically through each section and put a tick mark next to completed tasks on your PhD thesis plan.

Generative Writers

For generative writers, it is typically easier to put ideas down on paper before arranging and organising them. If you use this approach, you will need to ensure you have imposed a structure afterwards; by summarising each paragraph or subsection as bullet points to create an overview of the structure. Re-ordering the sections or subsections may be required to strengthen the cohesion of your writing, and additional sub-headings may have to be written to make your thesis flow better. For both planned writers and generative writers, it is crucial to keep reviewing your thesis and structure as your writing and research develops. Amendments are a natural part of the process as you become aware of what your PhD thesis needs to include to demonstrate your understanding and contribution to your field of study.

PhD Writing Tips

After years of research and study, when it is finally time to start writing the PhD thesis, many candidates can feel overwhelmed by the task and the word count, which is significantly higher than what they encountered while writing their undergraduate and postgraduate dissertations. The good news is that there is no need to be daunted by the process. By spending a fraction of your research time on finding ways to maximise your chances of success, by the time you submit your PhD thesis, you will feel confident in how you have showcased your creative knowledge and your contribution to your field of study. Below, we have outlined some tips you can follow to make the writing-up stage as stress-free as possible.

1. Clear Exposition is Key

Though wordcount is important, PhD candidates should pay mind to plenty more than their thesis wordcount when drafting and structuring. Writing as concisely as possible with adequate and clear exposition is just as important for PhD candidates aiming for no corrections or minor corrections following their PhD viva.

2. Trust in the Process

Remember that even the most experienced and eloquent writers, in academia or otherwise, never hit the ground running and knock it out of the park with the first draft. As the adage goes, you can’t edit a blank page; even if you start with rough bullet points that outline your subsections, these can be built on and around until you have fully mind-mapped your thesis. In time, your thesis will take clear and concise form; there is no use trying to stride over the finishing line before you have entered the race! Rewriting and editing is never a sign of failure or literary inadequacy; many writers spend most of the writing process editing their work!

3. Don’t Be Shy Asking Your Supervisor for Help

By the time you have reached the writing-up stage as a PhD candidate, you will have already leaned on your PhD supervisor to flesh out your ideas and develop your creative knowledge. Your supervisor may not be able to map or write your thesis for you, but they can provide invaluably helpful tips on structuring your thesis. Never replace online advice for the guidance your PhD supervisor can offer you! To allow your supervisor to help, create rough drafts that you can bring to your meetings; in time, you can refine them as the writing-up stage approaches.

4. Style It Out with Flair

Contrary to popular belief, academic writing doesn’t need to be dry. While the amount of flair you can put into your work will vary with respect to your field of study, there is nothing to say that you can’t use your voice – to an extent. As long as your PhD reads clearly and concisely and proves you are worthy of your doctorate title, you will impress your examiners in your viva!

5. Refrain from Using Passive Words and Phrases

By using active wording in your thesis instead of passive phrases, you can simplify your work and make it read with more authority and conviction. To write actively instead of passively, always allow the subject in the sentence to act on the target. For example, a passive phrase would be “The philosophical discourse was changed by Foucault. The active equivalent of that phrase would be, “Foucault changed the political discourse”. It takes time to develop these habits; however, online tools, such as Grammarly, can help you to notice when you are writing passively or using excessive and unnecessary words.

6. Steer Clear from Chronological Writing

Even though your thesis plan sets a roadmap of what needs to be completed, chronological writing can ultimately kill your creativity. Always write when the material or epiphanies are fresh in the mind – if you save them for later, there is a chance that they could be forgotten, or they may lose their substance or contextual importance. During the writing-up stage, some research could be more pertinent to chapters you have not turned to yet. Remember you will always return to each section later to ensure your full thesis is coherent.

Looking to find out how long the PhD will take to complete? Whether you want to complete it in the UK full-time or part-time; it is a big commitment, which shouldn’t be taken lightly. The gratification may not be immediate, but the rewards can be lifelong when considering the professional careers that are more accessible for PhD holders, the increased earning potential and the sense of satisfaction that comes with creating unique knowledge and gaining a title only a minute fraction of the global population will only acquire.

For More Support and Information

The information outlined in this article will give you plenty of clues on how to construct your thesis and which parameters you should use while structuring and drafting it. However, your PhD supervisor will be in the best position to inform you of the limits of length and stylistic requirements for your particular field of study. At UWS London, all our PhD supervisors are committed to ensuring all our PhD candidates receive the support, information, and guidance required for their writing-up stage and PhD Viva to run as smoothly as possible.

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Mathematics & Statistics Department

As a capstone project, every graduate of Reed College completes a thesis in their senior year. Here seniors can find instructions and resources for completing a mathematical thesis. Anyone can also find a list of thesis projects from Math & Stats from the last couple of decades. Jump to past thesis projects.

Current Thesis Instructions and Resources

Math-Stats Thesis Schedule   A list of department-specific assignments, due dates, and submission links for the thesis year.

Senior Handbook   College-wide schedules, degree requirements, resources for your thesis year, and resources for life beyond Reed—an important read as you start your year!

Thesis Proposal Form

Help with writing and research Library’s guide to thesis and resources 

LaTeX at Reed Typesetting help, including the thesis template.

MathSciNet ( on campus only ) An important resource for mathematical literature searches

Past Thesis Projects

Marlo Albers  (Mathematics) The h-Vector Conjecture for Matroids with Cycle Systems

Apollo Albright (Mathematics-Physics) Transmission of an Electron through a Saddle Potential

Kush Arya (Computer Science-Mathematics) Verifying Arithmetic Incompleteness

He Bai (Mathematics with a concentration in Statistics) Extending Targeted Function Balancing to Models without Linear Representations

Conor Bekaert (Mathematics with a concentration in Statistics) Towards a Weighted Joint Statistical Model for Rankings and Ratings

Lena Bloom (Mathematics) Maximum Overdrive: a Frequency Response Analysis of Distortion Due to Clipping

Mollie Boor (Mathematics) Towards Constructing the Affine Partition Algebra

Kenai Burton-Heckman (Mathematics with a concentration in Statistics) tfb: a Package for Targeted Function Balancing

David Carlip (Mathematics) Some Approaches to Hilbert-Kunz Multiplicity

Adam Cohen (Mathematics-Physics) Calculus on Twisty Stuff: The Local Index Theory of Dirac Operators

Asa Ferguson (Mathematics with a concentration in Statistics) Comparing Classic Parametric and Novel Machine-Learning Techniques to Analyze Survival Data: an Application to Historical Population-Based HIV Surveys in Sub-Saharan Africa

Quinn Hargrove (Mathematics with a concentration in Statistics) Visualizations to Improve Ranked Data Analyses, with Applications to Board Game Data

April Kopec (Computer Science-Mathematics) Scaling Explainable Artificial Intelligence Filtering and Approximations for Influence Functions for Large Language Models

Astrid Lilly (Mathematics) An Invitation to Tate's Thesis

Xinran Liu (Mathematics with a concentration in Statistics) Classical Simulation for Quantum Random Circuit Sampling in the Regime of Anti-concentration

Yancheng Liu (Computer Science-Mathematics) Suboptimal Multi-Heuristic Approaches for Solving the Rubik’s Cube Incorporating Deep Learning and Group Theory

Ethan MacBrough (Mathematics) Sparse Theorems are Full of Triangles

Solis McClain (Mathematics) Matroids and Their Cycle Systems: The h-Vector Conjecture for a New Class of Matroids

Ethan McDonald (Computer Science-Mathematics) Exploring Memory Tiering Policies for Composable Memory Systems

Olly Milshtein (Mathematics) The Cobordism Hypothesis and Topological Quantum Field Theories

Tina Qin (Mathematics) Autoregressive Time Series Modeling: A Comparative Analysis of Parameter Estimation and State Prediction Methods

Calliope Reimann (Mathematics) Extending Galois Connections between Posets to their Representations

Olive Ross (Mathematics-Physics) An Examination of Hinterleitner Doubly Special Relativity

Riley Shahar (Computer Science-Mathematics) Categories for Cryptographic Composability

Ava Sorgman (Mathematics) A Spectral Graph Theoretic Analysis of the Sign Flipping Sequence

Peihua Su (Mathematics-Physics) Benjamin-Ono Periodic Traveling Waves: Pole Dynamics and Dispersion Relations

Thomas Ulmer (Computer Science-Mathematics) Symbolic Analysis on C Binaries

Yuheng Wen (Computer Science-Mathematics) An Efficient Privacy-Preserving Satellites Collision Detection Method: Applying Private Set Intersection Using Garbled Circuit

Valerie Wu (Mathematics-Physics) The Tenfold Way and Beyond: Classification of Topological Insulators and Superconductors

Louise Xu (Computer Science-Mathematics) Privacy Paradox: Regularized Neural Networks and Distributional Differential Privacy

Guangyi Zhang (Mathematics-Physics) A Geodesic Journey into the Wormholes

Zach Barbanell (Computer Science-Mathematics) Optimizing Gadgets for Fully Homomorphic Encryption

Scott Blair (Mathematics) A Taste of Differential Field Theory

Wolfgang Brightenburg (Mathematics with a concentration in Statistics) On Estimating the Number of Clusters: Mind the Gap!

Kellen Brosnahan (Mathematics) Representation Theory, Schur-Weyl Duality, and the Partition Algebra

Jesse Cao (Mathematics-Physics) Classical Jackiw-Teitelboim Gravity: Towards Quantization

Victor Chen (Mathematics) The Impact of Schools on Traffic Congestion: A Case Study in California K-12 Public Schools

Malen Cuteric  (Mathematics with a concentration in Statistics) MAUPing Up: An Empirical Analysis of Error Rates in Dasymetric Mapping

Zack Dooley (Mathematics) A Survey of Categorification: Towards Categorical Algebra and Higher Categories

Jacob Finkelstein (Mathematics) An Accessible Proof of the Prime Number Theorem

Ilana Frey-Kim (Computer Science-Mathematics) Simplicial Homology Computation Using Discrete Morse Theory

Roscoe Haynie  (Computer Science-Mathematics) A Zero-Knowledge Proof for Norinori

Bhavjot Khurana (Mathematics with a concentration in Statistics) Supervised Machine Learning to Predict Student Proficiency in Oregon Public Schools

Hannah Kuder (Mathematics-Physics) The Beesis

Anna Luce (Mathematics) The CW Decomposition of the Grassmannian Manifold

Oliver Mansbach (Mathematics) Persisting Through The Convexity: Convex Modules for the Commutative

Olivia McGough (Mathematics) Persistent Homology and Applications to Graph Data

Keith Ng (Computer Science-Mathematics) Building To The Third Story: An AI To Play Santorini

Sean O'Donnell (Mathematics) Primes in Extensions and Expressions via Binary Quadratic Forms

Blaze Okonogi-Neth (Mathematics) An Introduction to Elliptic Curves, Modular Forms, and the Modularity Theorem

Rayn Samson (Mathematics-Physics) Relativistic Ehrenfest Relations for Klein-Gordon Fields

Sol Skinner  (Mathematics with a concentration in Statistics) Making Sense of Making Sense of Sensitivity

Monroe Stephenson (Mathematics) Kazhdan-Lusztig Polynomials of Matroids

Josh Yamamoto  (Mathematics with a concentration in Statistics) A Bayesian Approach to Zero-Inflation Modeling

Larry Zeng (Computer Science-Mathematics) Exploring Noninterference in Programming Languages: A Study of Simple Dependency Core Calculus and Logical Relations

Daniel Zou (Computer Science-Mathematics) Differentially Private Weighted Linear Regression

Emmanuel Arthur (Computer Science-Mathematics) The Stable Roommates Problem With Globally-Ranked Pairs

Alice Barker (Mathematics) Representations of sl2(C) and Connection to Temperley-Lieb Diagrams

Cruz Barnum (Computer Science-Mathematics) Indistinguishability Obfuscation From the Ground Up

Erik Beserra (Mathematics) Khovanov Homology: Putting Pants on Knots

Ian Cates-Doglio  (Mathematics with a concentration in Statistics) Snow Avalanche Predictions by Ensemble Modeling

Harry Chen (Mathematics) Metric Balls and Infinitely Degenerate Elliptic PDEs

Peter Chen (Mathematics) Mask, Vaccine and Covid

Tyler Dunaisky (Mathematics) Dynamics of Quadratic Rational Maps with Maximal Automorphism Group

Rylie Foster (Computer Science-Mathematics) An Introduction to Data-Driven Modal Analysis

Catherine Gong (Mathematics)  Group Actions in Music Theory

Evan Griggs (Mathematics) Cyclic Cones & Non-singular Refinements of Cyclic Fans

Alex Hsu (Mathematics) A Gentle Introduction to Homotopy Type Theory

Thomas Kelleher (Mathematics) An Operad-Theoretic Exploration of the Coherence Theorem for Monoidal Categories

Josh Klein Valente (Computer Science-Mathematics) An Introduction to Elliptic Curves and Applications in Cryptography

Tunç Başar Köse (Computer Science-Mathematics) Approximate Message Passing for Principal Component Analysis: Theory and Practice

Jay Kruer (Computer Science-Mathematics) The Way of Glue: An Invitation to the Categorical Semantics of Lambda Calculi

Sarah Kumar (Mathematics) Understanding Lie Algebras : An Alternate Perspective on Weyl's Theorem

Harpeth Lee (Mathematics with a concentration in Statistics) A Comparison of Data-Driven Partial Least Squares to Existing Partial Least Squares Models

Henry Lindeman (Computer Science-Mathematics) Normal Attention : A Novel Self-Attention Linearization Strategy for Abstractive Summarization of Long Documents

Daniel McFadden (Mathematics-Physics) Star Formation Quenching in Centaurus A

Paul Nguyen (Mathematics with a concentration in Statistics) Inference for Random Forests

Jasmine Peng (Mathematics-Economics) Foreign Direct Investment and Earnings in China

Elizabeth Prestegaard (Mathematics) The Lattice of Alexandrov Topologies

Evan Pugh  (Mathematics with a concentration in Statistics) Analyzing the Impact of Vaccinations, Government Policy and Other Factors on the COVID-19 Pandemic

Holden Saberhagen (Mathematics-Physics) Modeling the Integer Quantum Hall Effect

Daksh Shami (Computer Science-Mathematics) Exploration of the Hidden Subgroup Problem

Jakob Shimer (Computer Science-Mathematics) CNF Reduction in Weighted Model Counting

Sharon Wang (Mathematics) Kasteleyn's Tiling Theorem Using Complex Weights

George Zhao (Mathematics) A Construction of the Derived Category and Derived Functors

Shisham Adhikari  (Mathematics-Economics) Inequality in Ramsey Growth Model with Heterogeneous Rates of Return: Are rich getting higher returns on investment than poor?

Francis Baer (Mathematics) Adams Spectral Sequence Computations of BP<1> cooperations at Odd Primes

Ryen Burris (Mathematics-Physics) Modelling Vibration of Membranes Under Non-Uniform Tension

Reilly Cannon (Computer Science-Mathematics) Differential Privacy: the Gap Statistic and the Mapper Algorithm

Nicholas Cecil (Mathematics) Nets, Filters, and Convergence

Simon Couch (Mathematics with a concentration in Statistics) Tidy Model Stacking with R

Luke Doms (Mathematics) A Geometric Interpretation of the Coefficients of the Standard Simplex's Ehrhart Polynomial

Evan Franchere (Mathematics) Trust the Cones: Computing Diagonal Cartier Algebras of Affine Toric Varieties

Zhengyao Gu (Computer Science-Mathematics) Selective Prediction: Training and Evaluation Methods

Usman Hafeez (Mathematics) A^1 Milnor Numbers

Brenham Hooper (Mathematics with a concentration in Statistics) Classifying Types of Young Stars Using Supervised Machine Learning

Albert Ji (Computer Science-Mathematics) Universal Approximation and Interpolation in Neural Networks

Théo Lavier (Mathematics-Physics) A First Look at Rate Induced Tipping

Jiarong Li (Computer Science-Mathematics) Complex Network Comparison using Graphlets

Jonathan Li (Mathematics-Economics) Simulating Repeated Coalition Formation under Uncertainty

Yilin Li (Computer Science-Mathematics) What If English Had No Spaces? Investigating the Challenges of NLP for Character-Based Languages

Sarah Maebius (Mathematics with a concentration in Statistics) Statistical Learning Methods for Tree Classification using Remote Sensing Imagery

Peter Marcus (Mathematics) Computing the Henselization of a Valued Field

Kiki McBride (Mathematics) Klein Has Me in Stitches! (An Exploration of Mathematical Constructions of the Klein Quartic and Creation of Analogous Crochet Models)

Alan Moore (Mathematics with a concentration in Statistics) Inference on Latent Structure Random Graphs: Context, Theory and Applications

Weihang Qin (Computer Science-Mathematics) Raymarching Hyperbolic Geometry

Bijay Rai (Mathematics-Economics) On Track: Access to Improved Road Network and Poverty Alleviation in Mid and Far Western Nepal

William Ren (Mathematics-Economics) Casino Revenue and Life Quality in Macau

Cleo Schaumann (Mathematics) Young Tableaux, Schur Polynomials, and Crystals

Taylor Sedoo (Mathematics) Exposing Chaos: Attracting Differences

Hrishee Shastri (Computer Science-Mathematics) Cutting the Chord: Interleaved and Demand Aware Skip Graphs

Timothy Shinners (Mathematics with a concentration in Statistics) Modelling Mount Rainier’s Volcanic Event Sequence

Aryeh Stahl (Computer Science-Mathematics) A Generalized Approach to Graph De-anonymization

Ali Taqi (Mathematics with a concentration in Statistics) Spectral Statistics of Random Matrices

Ian Wahbe (Computer Science-Mathematics) Improvements to the Heuristic Rural Postman Problem

Daniel Wang (Mathematics) Diagrammatic Algebras to Describe the Endomorphism Algebra of $\mathfrak{gl}_n$-Modules

Riley Waugh (Mathematics) Regularity Theory of Degenerate Elliptic Partial Differential Equations

Grayson White (Mathematics with a concentration in Statistics) A Hierarchical Bayesian Approach to Small Area Estimation of Forest Attributes

Olek Wojcik (Mathematics-Economics) Higher Education Responses to COVID-19

Lucas Yong (Computer Science-Mathematics) An Exploration of Topological Quantum Computation

Kayleigh Bangs (Mathematics-Philosophy) This Thesis is Indeducible: Approaches for Justifying the Consistency of Peano Arithmetic After Gödel

Henry Blanchette (Computer Science-Mathematics) Purity and effect

Naomi Boss (Mathematics with a concentration in Statistics) Hindsight is 2020: Evaluating a Presidential Election Forecasting Model During a Global Pandemic

Maxine Calle (Mathematics) Morse theory and flow categories

Nick Chaiyachakorn (Mathematics) THREE EASY PIECES IN HARMONIC ANALYSIS Singular integrals, the Hardy space H1, and boundedness results

Lixuan Chen (Mathematics-Economics) Is education finally paying-off in urban China? : evidence from 1989-2015

William Daniel (Mathematics-Economics) Machine learning application in credit card fraud

Wenxin Du (Mathematics with a concentration in Statistics) A close look at specification curve analysis and existing applications

Canyon Foot (Mathematics with a concentration in Statistics) Graphical approaches to recovering distributions under selection bias and missing data

Iris Griffith (Mathematics with a concentration in Statistics) Do androids dream of electric trees? : classifying and predicting forest attributes using deep neural network models

Collin Guo  (Mathematics with a concentration in Statistics) Linearizing quadratic stochastic processes for metagame mixing time analysis

Kaitlyn Hepp (Mathematics) Rowmotion on Doppelgänger Pairs

Robert Irvin (Mathematics-Economics) Simulating the price of anarchy in auctions

Claire Jellison (Mathematics-Economics) Giving by the numbers : a study of peer effects with online crowdfunding

Zekican Kazan (Mathematics with a concentration in Statistics) The longest increasing subsequence as a test statistic

Young Kim (Mathematics) Resolutions of Rees algebras

Ryan Kobler (Mathematics-Economics) Spatial effects and environmental hedonic valuation in Portland, Oregon

Mason Koch (Computer Science-Mathematics) Reinforcement learning for Pokemon AI

Noah Koster (Computer Science-Mathematics) Neuronal Dynamics of the Action Potential: Spiking Behavior in the FitzHugh-Nagumo Model and others

Ryan Neumann (Computer Science-Mathematics) An exploration of reinforcement learning through video games

Shulav Neupane (Mathematics-Economics) Citation and collaboration behavior at the university level in agricultural sciences

Jiajing Peng (Mathematics-Economics) Nonprofits as infrastructure for regional economic resilience : evidence from US metropolitan area during the great recession

Huaying Qiu (Mathematics with a concentration in Statistics) Forest type classification in interior Alaska using G-LiHT data

Kaiyan Shi (Computer Science-Mathematics) Investigation on 1D area law and XXZ model

David Tamas-Parris (Computer Science-Mathematics) Elliptic Curves Aren't Secure? SIKE!

Lucas Williams (Mathematics) How to do proof by picture and get away with it :the representation theory of quantum groups and connections to knot theory

Livia Xu (Mathematics) Toppling ideals of M-matrices

Matthew Yancheff (Mathematics with a concentration in Statistics) Statistical Inference on Brownian Motion with Drift

Anton Zavorotny (Mathematics) Vassiliev knot invariants and the graph bialgebra of lando

Aiman Absar (Mathematics-Economics) Revealing Anomalies in Behavior of Rational Agents: Applying Game Theory to Behavioral Economics

Sean Allen (Mathematics-Physics) Reservoir Computing: Observing the Baker's Map

Edwin Alvarado (Mathematics-Economics) Impact of Fast Fashion on Welfare in Developing Countries

Edsel Arce  (Mathematics with a concentration in Statistics) Klaytheism, Competition, Free Throws

Matthew Atteberry (Computer Science) Reinforcement Learning: An Overview

Miles Baker (Computer Science) Don't Point Yourself Into a Corner: Using Static Analysis to Prevent Memory Leaks in C

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What is the average number of references in a PhD thesis in the humanities?

How many references on average are typical for a PhD Thesis?

More specifically, I'm looking for a comparison of the average number of references for an engineering PhD thesis and PhD theses in other fields.

I'm looking for references or data on the subject.

  • reference-request

Community's user avatar

  • 5 I'm speaking from what I've been told as a grad student, not from a position of authority, but....as many it takes to show that you've done an exhaustive review of the literature surrounding the subject and are the (new) expert in your chosen area. –  tonysdg Commented Sep 21, 2015 at 2:45
  • 2 Related: How many references should be included in the bibliography of a Master thesis? –  ff524 Commented Sep 21, 2015 at 3:35
  • 3 As always, PhD Comics has the answer to all your questions: phdcomics.com/comics/archive/phd091615s.gif –  boscovich Commented Sep 21, 2015 at 6:15
  • Somehow related, see this blog post and plot: Average dissertation and thesis length (by field). He shares R code. However, the analysis is being done on a single university repository. You can use a similar methodology to calculate the number of references. –  Piotr Migdal Commented Sep 21, 2015 at 8:41
  • Also: phdcomics.com/comics.php?f=1823 (but it is for papers, not - theses). –  Piotr Migdal Commented Sep 25, 2015 at 15:27

5 Answers 5

As alluded to in the comments, there is no generic "right" answer: the number will depend strongly on the nature of your thesis, the state of the literature related to it, and your personal scholastic style. Nevertheless, in the spirit of engineering approximations, I will supply you with some rough guidelines.

As a lower bound, I would be startled if it was possible to place most theses within the context of pre-existing work in less than about 20 references. In certain contexts such as an obscure corner of pure mathematics perhaps this might be possible, but in most cases work does not take place in a vacuum, and other people will have either used similar techniques or cared about similar problems in the past.

As an upper bound, I would be concerned with a thesis with on the order of 200 or more references that the student hasn't been doing enough work on their own original research and has been investing too much time and energy in building a literature review, rather than a thesis. Again, there will likely be cases where a thesis with an extremely high number of references would be reasonable, but these are likely to be unusual.

Notice the extremely wide range and suspiciously round numbers in my estimates: really there is no "right" answer for how many there should be in general , but perhaps these will help with some initial first impressions in one's thinking.

jakebeal's user avatar

  • 9 "upper bound... 200 or more": In a corpus of PhD theses in Agricultural Botany or Agricultural and Food Economics at the University of Reading, average number of citations per thesis were 248.8 and 333.5, respectively. ( Source ) (I don't know how many unique references these citations were to, though) –  ff524 Commented Sep 21, 2015 at 3:15
  • 2 "lower bound...less than about 20 citations": as a fun data point, John Nash's PhD thesis had 2 references. –  ff524 Commented Sep 21, 2015 at 3:39
  • @ff524 Apologies for any confusion between citation and reference in my original writing; I've clarified. The citation data point is interesting, but doesn't answer the references question---I certainly tend to see many citations to key references. Nash, I would definitely count as an unusual data point. :-) –  jakebeal Commented Sep 21, 2015 at 3:46
  • 4 I think your upper bound is too low. In energy studies, I expect to see 150-250 references. 200 is not unusual for a lit review. –  410 gone Commented Sep 21, 2015 at 6:22
  • Nash referenced two other sources - one of which his own. :D –  fgysin Commented Sep 21, 2015 at 9:32

A quick look at the mostly Mechanical Engineering theses I have on my computer at the moment gives an average of just over 100 references, with a range of approximately 80-150.

I haven't been able to find any quantifiable data but I feel this is about right. Some people will have significantly more and a few less.

I also suspect there is significant variations between subjects with arts and social sciences having significantly more references and more theoretical subjects having slightly less.

nivag's user avatar

In essence, the number should be small enough to prove that the major composition of your thesis is your own work, yet large enough to satisfy the committee during your thesis defence.

As first stated, there is no actual upper or lower bound per se . But required number of items to be referred is more of a hidden factor that is highly dependant on your doctoral committee. Thus it would be best to consult your advisor and, if permitted so, members of your doctoral doctoral committee. In addition to that, you ought to look through some PhD dissertation accomplished by others in your field to get a good idea of the average number if that is what you really want.

Ébe Isaac's user avatar

It really depends on the subject. Imagine you are writing a thesis on three complex inter-related medical conditions and you include a well-sustained hypothesis for further study. It would not be very hard to reach 300 or more citations. You know that people reading your work will not be specialists on the three subjects at the same time, so you have to provide a good and comprehensive introduction on each subject, so that everyone can understand the results and discussions. This alone can take 200 or more references, some of them will be used in the discussion. Now imagine that two of these medical conditions have recent definitions and guidelines that are completely different from those from two years ago, and you have to contrast results with papers using the old guidelines, as well as some few papers that use the new guidelines. Now you have to explain both guidelines and in which way they differ from each other. Furthermore, the pathophysiologic models for the interaction between these conditions are complex and comprise systemic, organic, cellular, molecular levels, and you have to explain some of them in order to establish your hypothesis. This is where I'm headed... around 320 references and counting...

Slinkman's user avatar

For me, I think that the use of references should not limit the creativity of the Doctorat candidate. Rather, they should be that springboard that get them produce more than what they get as intake. Numerically, I expect to have each single reference to be equated with two pages of the candidate's work as a maximum. This would mean that a dissertation of 300 pages should not have used more than150 references. The number wil' vary according g to the length of the dissertation. The higher the number of references, the more limited the originality of the work and the poorer the creativity displayed.

Afkinich Taoufik Allah's user avatar

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math phd thesis length

IMAGES

  1. How long is a Thesis or Dissertation? [the data] PhD, Masters

    math phd thesis length

  2. phd length of time

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  3. Math Dissertation Length Sample

    math phd thesis length

  4. Average dissertation and thesis length, take two

    math phd thesis length

  5. How Long Is a Math PhD Thesis?

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  6. GitHub

    math phd thesis length

COMMENTS

  1. How long is a PhD dissertation? [Data by field]

    The shortest PhD dissertations are typically found in mathematics. ... His professor said to bind the solution to the two problems together and submit them as his thesis - the total thesis length = 14 pages. Obviously, most PhD theses and dissertations will be so much longer than that! My PhD dissertation was 256 pages long. It was full of ...

  2. How Long Is a PhD Thesis?

    However, from the analysis of over 100 PhD theses, the average thesis length is between 80,000 and 100,000 words. A further analysis of 1000 PhD thesis shows the average number of pages to be 204. In reality, the actual word count for each PhD thesis will depend on the specific subject and the university it is being hosted by.

  3. phd

    A Mathematician's Survival Guide: Graduate School and Early Career Development. A Primer of Mathematical Writing. The first one contains subsection 4.6 which deals specifically with writing a thesis, the second one is on mathematical writing in general but it does not really deal with the theses per se. Share.

  4. PhD Requirements

    Course Requirements Mathematics PhD candidates must show satisfactory work in Algebra (110.601-602), Real Variables (110.605), Complex Variables (110.607), and one additional non-seminar mathematics graduate course in their first year. ... PhD Dissertation. Candidates must produce a written dissertation based upon independent and original research.

  5. Masters and PhD Thesis and Defense Guidelines

    Masters and PhD Thesis and Defense Guidelines. The crucial work produced in the course of graduate study for PhD students is a doctoral dissertation. MS students may also choose to culminate their studies by completing a master's thesis. There is no length requirement for these works, and they are read and approved by a committee put together ...

  6. Length of the average dissertation

    Economics, mathematics, and biostatistics had the lowest median page lengths, whereas anthropology, history, and political science had the highest median page lengths. This distinction makes sense given the nature of the disciplines. I was on the long end of the statistics distribution, around 180 pages. Probably because I had a lot of pictures.

  7. PhD Dissertations

    In 1909 the department awarded its first PhD to Grace M. Bareis, whose dissertation was directed by Professor Harry W. Kuhn.The department began awarding PhD degrees on a regular basis around 1930, when a formal doctoral program was established as a result of the appointment of Tibor Radó as a professor at our department. To date, the department has awarded over 800 PhD degrees.

  8. Preparing Your Thesis

    Thesis Length. The thesis should be no longer than necessary to provide a succinct introduction to your research topic, to present your findings and to discuss what conclusions can be drawn from them in the context of the current knowledge of the field. These conclusions should be backed up with adequate references from the published literature.

  9. How long is a dissertation?

    An undergraduate dissertation is typically 8,000-15,000 words. A master's dissertation is typically 12,000-50,000 words. A PhD thesis is typically book-length: 70,000-100,000 words. However, none of these are strict guidelines - your word count may be lower or higher than the numbers stated here. Always check the guidelines provided ...

  10. PhD Thesis

    The PhD thesis is the most important part of a doctoral degree. This page will introduce you to what you need to know about the PhD dissertation. ... The length of a PhD thesis varies from subject to subject, but all are far longer than those for undergraduate or Masters degrees. Your university will usually set an upper limit - typically ...

  11. What is the shortest Ph.D. thesis?

    14. I believe the shortest PhD thesis is of Burt Totaro "Milnor K-theory is the simplest part of algebraic K-theory", 12 pages. Milnor K-theory is the simplest part of algebraic K-theory, Ph.D. thesis, University of California, Berkeley, 1989; published as: K-Theory 6 (1992), 177-189 ( Portico archived version ).

  12. Harvard Mathematics Department Harvard Department of Mathematics PhD

    Department of Mathematics. Science Center Room 325. 1 Oxford Street. Cambridge, MA 02138 USA. Tel: (617) 495-2171 Fax: (617) 495-5132. Department Main Office Contact. Web Site Contact. Digital Accessibility. Legacy Department of Mathematics Website.

  13. Tips for writing a PhD dissertation: FAQs answered

    A PhD thesis (or dissertation) is typically 60,000 to 120,000 words ( 100 to 300 pages in length) organised into chapters, divisions and subdivisions (with roughly 10,000 words per chapter) - from introduction (with clear aims and objectives) to conclusion. The structure of a dissertation will vary depending on discipline (humanities, social ...

  14. How long is a Thesis or Dissertation? [the data] PhD, Masters

    An undergraduate thesis is likely to be about 20 to 50 pages long. A Master's thesis is likely to be between 30 and 100 pages in length and a PhD dissertation is likely to be between 50 and 450 pages long. In the table below I highlight the typical length of an undergraduate, master's, and PhD. Level of study.

  15. Why is a PhD thesis typically 150 pages? [closed]

    In summary, even if my thesis had nothing but 3 published/publishable manuscripts, it would already be >150 pages. I recognise that PhD theses vary in length; however in general theses have a substantially higher word count than a research publication. Number of papers as a marker of progress is annoying too.

  16. PDF Mathematical and Statistical Dissertations in Part C Mathematics Part C

    2 How to choose a dissertation topic Mathematics dissertations can be o ered on a mathematical topic (CCD ... dissertation length is close to the page limit, ensure that your dissertation is written to an A4 page with a text width of 15cm and a text height of 22.5cm per page. There is a LaTeX template available at https://www.maths.ox.

  17. PDF Honors in Mathematics

    Honors in Mathematics Writing a Senior Thesis (2021-2022) 1. Candidacy for Honors. A senior thesis is required for high or highest honors in Mathematics, where-as for straight honors (neither high nor highest), a senior thesis can be submit or four extra courses in Mathematics or approved related fields can be taken (above the required twelve ...

  18. How Long is a Dissertation for a PhD?

    Typically ranges from 50 to 100 pages. Typically completed at the end of a PhD program. Mainly consists of the author's unique research. Average length is 100 to 250 pages. If you want to develop your own concepts or theories, a dissertation can help you accomplish this goal.

  19. Does the length of a PhD thesis matter?

    6. John Nash's thesis was 26 pages long with only two references and he later won a Nobel prize. What matters is scientific quality not quantity, if your ideas are superior nobody will object the length (mine was less than 100 pages). Math is really special in this respect.

  20. A Question about Doctoral Theses in Mathematics

    41. In the end, the doctoral thesis has to contain enough to be passed by the readers (and to satisfy any auxiliary rules of the institution to which it is submitted). While a very slim thesis is unusual, if the results are good and the writing is comprehensible, I don't see that slimness is necessarily bad.

  21. Mathematics PhD theses

    A selection of Mathematics PhD thesis titles is listed below, some of which are available online: 2023 2022 2021 2020 2019 2018 2017 2016 2015 2014 2013 2012 2011 2010 2009 2008 2007 2006 2005 2004 2003 2002 2001 2000 1999 1998 1997 1996 1995 1994 1993 1992 1991. 2024. Reham Alahmadi - Asymptotic Study of Toeplitz Determinants with Fisher-Hartwig Symbols and Their Double-Scaling Limits

  22. How Long is a PhD Thesis?

    So how many words is a Ph.D. thesis? At UWS London, your PhD thesis should not typically exceed 40,000 words for PhD students studying Mathematics, Technology, Science, and Engineering - this excludes ancillary data. For PhD students studying in all other fields, a PhD thesis should not exceed 80,000 words.

  23. Thesis

    Thesis. As a capstone project, every graduate of Reed College completes a thesis in their senior year. Here seniors can find instructions and resources for completing a mathematical thesis. Anyone can also find a list of thesis projects from Math & Stats from the last couple of decades. Jump to past thesis projects.

  24. citations

    Numerically, I expect to have each single reference to be equated with two pages of the candidate's work as a maximum. This would mean that a dissertation of 300 pages should not have used more than150 references. The number wil' vary according g to the length of the dissertation.